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Finding the Fourth Proportional to 83,691.73, 125,990.05 and 76,243.16

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Solution

The fourth proportional to 83,691.73, 125,990.05 and 76,243.16 is: 114,776.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,691.73 : 125,990.05 = 76,243.16 : x
  2. Step 2: Convert to fraction form
    83,691.73/125,990.05 = 76,243.16/x
  3. Step 3: Cross multiply
    83,691.73x = 125,990.05 × 76,243.16
  4. Step 4: Simplify right side
    83,691.73x = 9,605,878,529.39
  5. Step 5: Solve for x
    x = 9,605,878,529.39/83,691.73
  6. Step 6: Final answer
    x = 114,776.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.