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Finding the Fourth Proportional to 198,489.56, 297,714.90 and 80,125.88

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Solution

The fourth proportional to 198,489.56, 297,714.90 and 80,125.88 is: 120,180.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,489.56 : 297,714.90 = 80,125.88 : x
  2. Step 2: Convert to fraction form
    198,489.56/297,714.90 = 80,125.88/x
  3. Step 3: Cross multiply
    198,489.56x = 297,714.90 × 80,125.88
  4. Step 4: Simplify right side
    198,489.56x = 23,854,668,351.61
  5. Step 5: Solve for x
    x = 23,854,668,351.61/198,489.56
  6. Step 6: Final answer
    x = 120,180.97

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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.