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Finding the Fourth Proportional to 129,834.90, 194,910.30 and 82,449.90

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Solution

The fourth proportional to 129,834.90, 194,910.30 and 82,449.90 is: 123,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,834.90 : 194,910.30 = 82,449.90 : x
  2. Step 2: Convert to fraction form
    129,834.90/194,910.30 = 82,449.90/x
  3. Step 3: Cross multiply
    129,834.90x = 194,910.30 × 82,449.90
  4. Step 4: Simplify right side
    129,834.90x = 16,070,334,743.97
  5. Step 5: Solve for x
    x = 16,070,334,743.97/129,834.90
  6. Step 6: Final answer
    x = 123,775.15

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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.