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Finding the Fourth Proportional to 198,711.32, 274,082.82 and 134,938.40

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Solution

The fourth proportional to 198,711.32, 274,082.82 and 134,938.40 is: 186,120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,711.32 : 274,082.82 = 134,938.40 : x
  2. Step 2: Convert to fraction form
    198,711.32/274,082.82 = 134,938.40/x
  3. Step 3: Cross multiply
    198,711.32x = 274,082.82 × 134,938.40
  4. Step 4: Simplify right side
    198,711.32x = 36,984,297,198.29
  5. Step 5: Solve for x
    x = 36,984,297,198.29/198,711.32
  6. Step 6: Final answer
    x = 186,120.74

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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.