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Finding the Fourth Proportional to 83,147.78, 124,752.65 and 49,891.71

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Solution

The fourth proportional to 83,147.78, 124,752.65 and 49,891.71 is: 74,856.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,147.78 : 124,752.65 = 49,891.71 : x
  2. Step 2: Convert to fraction form
    83,147.78/124,752.65 = 49,891.71/x
  3. Step 3: Cross multiply
    83,147.78x = 124,752.65 × 49,891.71
  4. Step 4: Simplify right side
    83,147.78x = 6,224,123,035.53
  5. Step 5: Solve for x
    x = 6,224,123,035.53/83,147.78
  6. Step 6: Final answer
    x = 74,856.15

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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.