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Finding the Fourth Proportional to 83,951.46, 125,896.94 and 27,781.20

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Solution

The fourth proportional to 83,951.46, 125,896.94 and 27,781.20 is: 41,661.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,951.46 : 125,896.94 = 27,781.20 : x
  2. Step 2: Convert to fraction form
    83,951.46/125,896.94 = 27,781.20/x
  3. Step 3: Cross multiply
    83,951.46x = 125,896.94 × 27,781.20
  4. Step 4: Simplify right side
    83,951.46x = 3,497,568,069.53
  5. Step 5: Solve for x
    x = 3,497,568,069.53/83,951.46
  6. Step 6: Final answer
    x = 41,661.79

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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.