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Finding the Fourth Proportional to 198,710.82, 274,082.13 and 134,937.90

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Solution

The fourth proportional to 198,710.82, 274,082.13 and 134,937.90 is: 186,120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,710.82 : 274,082.13 = 134,937.90 : x
  2. Step 2: Convert to fraction form
    198,710.82/274,082.13 = 134,937.90/x
  3. Step 3: Cross multiply
    198,710.82x = 274,082.13 × 134,937.90
  4. Step 4: Simplify right side
    198,710.82x = 36,984,067,049.73
  5. Step 5: Solve for x
    x = 36,984,067,049.73/198,710.82
  6. Step 6: Final answer
    x = 186,120.05

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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.