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Finding the Fourth Proportional to 141,750, 195,615 and 78,087.78

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Solution

The fourth proportional to 141,750, 195,615 and 78,087.78 is: 107,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,750 : 195,615 = 78,087.78 : x
  2. Step 2: Convert to fraction form
    141,750/195,615 = 78,087.78/x
  3. Step 3: Cross multiply
    141,750x = 195,615 × 78,087.78
  4. Step 4: Simplify right side
    141,750x = 15,275,141,084.70
  5. Step 5: Solve for x
    x = 15,275,141,084.70/141,750
  6. Step 6: Final answer
    x = 107,761.14

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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.