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Finding the Fourth Proportional to 71,069.29, 106,581.25 and 28,949.29

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Solution

The fourth proportional to 71,069.29, 106,581.25 and 28,949.29 is: 43,414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,069.29 : 106,581.25 = 28,949.29 : x
  2. Step 2: Convert to fraction form
    71,069.29/106,581.25 = 28,949.29/x
  3. Step 3: Cross multiply
    71,069.29x = 106,581.25 × 28,949.29
  4. Step 4: Simplify right side
    71,069.29x = 3,085,451,514.81
  5. Step 5: Solve for x
    x = 3,085,451,514.81/71,069.29
  6. Step 6: Final answer
    x = 43,414.69

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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.