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Finding the Fourth Proportional to 83,591.78, 125,584.50 and 68,107.82

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Solution

The fourth proportional to 83,591.78, 125,584.50 and 68,107.82 is: 102,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,591.78 : 125,584.50 = 68,107.82 : x
  2. Step 2: Convert to fraction form
    83,591.78/125,584.50 = 68,107.82/x
  3. Step 3: Cross multiply
    83,591.78x = 125,584.50 × 68,107.82
  4. Step 4: Simplify right side
    83,591.78x = 8,553,285,892.87
  5. Step 5: Solve for x
    x = 8,553,285,892.87/83,591.78
  6. Step 6: Final answer
    x = 102,322.10

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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.