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Finding the Fourth Proportional to 118,642.62, 177,766.89 and 83,508.38

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Solution

The fourth proportional to 118,642.62, 177,766.89 and 83,508.38 is: 125,123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,642.62 : 177,766.89 = 83,508.38 : x
  2. Step 2: Convert to fraction form
    118,642.62/177,766.89 = 83,508.38/x
  3. Step 3: Cross multiply
    118,642.62x = 177,766.89 × 83,508.38
  4. Step 4: Simplify right side
    118,642.62x = 14,845,025,001.54
  5. Step 5: Solve for x
    x = 14,845,025,001.54/118,642.62
  6. Step 6: Final answer
    x = 125,123.88

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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.