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Finding the Fourth Proportional to 125,402.31, 188,099.82 and 36,657.90

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Solution

The fourth proportional to 125,402.31, 188,099.82 and 36,657.90 is: 54,985.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,402.31 : 188,099.82 = 36,657.90 : x
  2. Step 2: Convert to fraction form
    125,402.31/188,099.82 = 36,657.90/x
  3. Step 3: Cross multiply
    125,402.31x = 188,099.82 × 36,657.90
  4. Step 4: Simplify right side
    125,402.31x = 6,895,344,391.58
  5. Step 5: Solve for x
    x = 6,895,344,391.58/125,402.31
  6. Step 6: Final answer
    x = 54,985.78

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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.