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Finding the Fourth Proportional to 83,778.78, 125,677.32 and 36,361.28

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Solution

The fourth proportional to 83,778.78, 125,677.32 and 36,361.28 is: 54,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,778.78 : 125,677.32 = 36,361.28 : x
  2. Step 2: Convert to fraction form
    83,778.78/125,677.32 = 36,361.28/x
  3. Step 3: Cross multiply
    83,778.78x = 125,677.32 × 36,361.28
  4. Step 4: Simplify right side
    83,778.78x = 4,569,787,593.78
  5. Step 5: Solve for x
    x = 4,569,787,593.78/83,778.78
  6. Step 6: Final answer
    x = 54,545.88

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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.