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Finding the Fourth Proportional to 71,082.57, 106,660.76 and 28,993.53

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Solution

The fourth proportional to 71,082.57, 106,660.76 and 28,993.53 is: 43,505.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,082.57 : 106,660.76 = 28,993.53 : x
  2. Step 2: Convert to fraction form
    71,082.57/106,660.76 = 28,993.53/x
  3. Step 3: Cross multiply
    71,082.57x = 106,660.76 × 28,993.53
  4. Step 4: Simplify right side
    71,082.57x = 3,092,471,799.92
  5. Step 5: Solve for x
    x = 3,092,471,799.92/71,082.57
  6. Step 6: Final answer
    x = 43,505.35

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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.