A digital strategy analyst is allocating $120,000 in funding for three community health initiatives. The largest project receives 50% more than the medium project, and the medium project receives 20% more than the smallest. What is the amount, in dollars, allocated to the smallest initiative?

How A Digital Strategy Analyst Is Allocating $120,000 Across Three Community Health Initiatives—And What It Reveals About Smart Funding Choices

In a year marked by rising demand for equitable healthcare access and innovative community-driven solutions, digital strategy analysts are increasingly called upon to guide the allocation of resources with precision. A recent $120,000 funding distribution across three community health initiatives reflects a growing focus on data-informed strategies—balancing transparency, impact, and efficiency. At the heart of this allocation lies a clear, analytical pattern: how much each project receives is carefully calibrated based on defined percentage increases. Understanding this structure offers more than just budget math—it reveals how strategic planning shapes real-world outcomes.

Understanding the Context

The Role of Percentage Growth in Funding Decisions

The allocation begins with a defined relationship: the largest project receives 50% more than the medium project, and the medium receives 20% more than the smallest. This layered percentage model ensures proportional growth aligned with funding priorities. Because the total sum is fixed at $120,000, solving this puzzle becomes both a mathematical exercise and a test of strategic clarity.

Analysts calculate based on a variable representing the smallest project’s funding—say, x. Then the medium project receives 1.2×x (a 20% increase), and the largest gets 1.5×(1.2×x) = 1.8×x. Adding these:
Total = x + 1.2x + 1.8x = 4×x

Set equal to $120,000:
4x = 120,000 → x = 30,000