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Finding the Fourth Proportional to 71,689.92, 107,389.06 and 36,129.30

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Solution

The fourth proportional to 71,689.92, 107,389.06 and 36,129.30 is: 54,120.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,689.92 : 107,389.06 = 36,129.30 : x
  2. Step 2: Convert to fraction form
    71,689.92/107,389.06 = 36,129.30/x
  3. Step 3: Cross multiply
    71,689.92x = 107,389.06 × 36,129.30
  4. Step 4: Simplify right side
    71,689.92x = 3,879,891,565.46
  5. Step 5: Solve for x
    x = 3,879,891,565.46/71,689.92
  6. Step 6: Final answer
    x = 54,120.46

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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.