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Finding the Fourth Proportional to 138,909.57, 191,696.52 and 75,248.73

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Solution

The fourth proportional to 138,909.57, 191,696.52 and 75,248.73 is: 103,843.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,909.57 : 191,696.52 = 75,248.73 : x
  2. Step 2: Convert to fraction form
    138,909.57/191,696.52 = 75,248.73/x
  3. Step 3: Cross multiply
    138,909.57x = 191,696.52 × 75,248.73
  4. Step 4: Simplify right side
    138,909.57x = 14,424,919,957.60
  5. Step 5: Solve for x
    x = 14,424,919,957.60/138,909.57
  6. Step 6: Final answer
    x = 103,843.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.