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Finding the Fourth Proportional to 72,916.49, 109,375.20 and 20,326.43

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Solution

The fourth proportional to 72,916.49, 109,375.20 and 20,326.43 is: 30,489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,916.49 : 109,375.20 = 20,326.43 : x
  2. Step 2: Convert to fraction form
    72,916.49/109,375.20 = 20,326.43/x
  3. Step 3: Cross multiply
    72,916.49x = 109,375.20 × 20,326.43
  4. Step 4: Simplify right side
    72,916.49x = 2,223,207,244.90
  5. Step 5: Solve for x
    x = 2,223,207,244.90/72,916.49
  6. Step 6: Final answer
    x = 30,489.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.