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Finding the Fourth Proportional to 100,842.70, 151,264.05 and 63,517.90

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Solution

The fourth proportional to 100,842.70, 151,264.05 and 63,517.90 is: 95,276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,842.70 : 151,264.05 = 63,517.90 : x
  2. Step 2: Convert to fraction form
    100,842.70/151,264.05 = 63,517.90/x
  3. Step 3: Cross multiply
    100,842.70x = 151,264.05 × 63,517.90
  4. Step 4: Simplify right side
    100,842.70x = 9,607,974,801.50
  5. Step 5: Solve for x
    x = 9,607,974,801.50/100,842.70
  6. Step 6: Final answer
    x = 95,276.85

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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.