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Finding the Fourth Proportional to 71,714.70, 107,572.05 and 42,165.90

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Solution

The fourth proportional to 71,714.70, 107,572.05 and 42,165.90 is: 63,248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,714.70 : 107,572.05 = 42,165.90 : x
  2. Step 2: Convert to fraction form
    71,714.70/107,572.05 = 42,165.90/x
  3. Step 3: Cross multiply
    71,714.70x = 107,572.05 × 42,165.90
  4. Step 4: Simplify right side
    71,714.70x = 4,535,872,303.10
  5. Step 5: Solve for x
    x = 4,535,872,303.10/71,714.70
  6. Step 6: Final answer
    x = 63,248.85

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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.