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Finding the Fourth Proportional to 71,781.87, 107,689.85 and 22,533.87

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Solution

The fourth proportional to 71,781.87, 107,689.85 and 22,533.87 is: 33,806.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,781.87 : 107,689.85 = 22,533.87 : x
  2. Step 2: Convert to fraction form
    71,781.87/107,689.85 = 22,533.87/x
  3. Step 3: Cross multiply
    71,781.87x = 107,689.85 × 22,533.87
  4. Step 4: Simplify right side
    71,781.87x = 2,426,668,967.55
  5. Step 5: Solve for x
    x = 2,426,668,967.55/71,781.87
  6. Step 6: Final answer
    x = 33,806.15

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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.