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Finding the Fourth Proportional to 198,952.79, 274,546.45 and 108,306.88

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Solution

The fourth proportional to 198,952.79, 274,546.45 and 108,306.88 is: 149,458.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,952.79 : 274,546.45 = 108,306.88 : x
  2. Step 2: Convert to fraction form
    198,952.79/274,546.45 = 108,306.88/x
  3. Step 3: Cross multiply
    198,952.79x = 274,546.45 × 108,306.88
  4. Step 4: Simplify right side
    198,952.79x = 29,735,269,414.58
  5. Step 5: Solve for x
    x = 29,735,269,414.58/198,952.79
  6. Step 6: Final answer
    x = 149,458.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.