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Finding the Fourth Proportional to 198,472.20, 297,663.40 and 91,797.61

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Solution

The fourth proportional to 198,472.20, 297,663.40 and 91,797.61 is: 137,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,472.20 : 297,663.40 = 91,797.61 : x
  2. Step 2: Convert to fraction form
    198,472.20/297,663.40 = 91,797.61/x
  3. Step 3: Cross multiply
    198,472.20x = 297,663.40 × 91,797.61
  4. Step 4: Simplify right side
    198,472.20x = 27,324,788,704.47
  5. Step 5: Solve for x
    x = 27,324,788,704.47/198,472.20
  6. Step 6: Final answer
    x = 137,675.65

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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.