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Finding the Fourth Proportional to 198,727, 274,243.98 and 108,082.96

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Solution

The fourth proportional to 198,727, 274,243.98 and 108,082.96 is: 149,154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,727 : 274,243.98 = 108,082.96 : x
  2. Step 2: Convert to fraction form
    198,727/274,243.98 = 108,082.96/x
  3. Step 3: Cross multiply
    198,727x = 274,243.98 × 108,082.96
  4. Step 4: Simplify right side
    198,727x = 29,641,101,120.58
  5. Step 5: Solve for x
    x = 29,641,101,120.58/198,727
  6. Step 6: Final answer
    x = 149,154.88

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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.