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Finding the Fourth Proportional to 83,691.78, 125,483.12 and 30,373.70

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Solution

The fourth proportional to 83,691.78, 125,483.12 and 30,373.70 is: 45,540.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,691.78 : 125,483.12 = 30,373.70 : x
  2. Step 2: Convert to fraction form
    83,691.78/125,483.12 = 30,373.70/x
  3. Step 3: Cross multiply
    83,691.78x = 125,483.12 × 30,373.70
  4. Step 4: Simplify right side
    83,691.78x = 3,811,386,641.94
  5. Step 5: Solve for x
    x = 3,811,386,641.94/83,691.78
  6. Step 6: Final answer
    x = 45,540.75

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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.