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Finding the Fourth Proportional to 198,349.88, 297,524.21 and 71,989.95

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Solution

The fourth proportional to 198,349.88, 297,524.21 and 71,989.95 is: 107,984.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,349.88 : 297,524.21 = 71,989.95 : x
  2. Step 2: Convert to fraction form
    198,349.88/297,524.21 = 71,989.95/x
  3. Step 3: Cross multiply
    198,349.88x = 297,524.21 × 71,989.95
  4. Step 4: Simplify right side
    198,349.88x = 21,418,753,757.46
  5. Step 5: Solve for x
    x = 21,418,753,757.46/198,349.88
  6. Step 6: Final answer
    x = 107,984.71

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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.