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Finding the Fourth Proportional to 84,140.46, 126,082.98 and 61,847.64

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Solution

The fourth proportional to 84,140.46, 126,082.98 and 61,847.64 is: 92,677.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,140.46 : 126,082.98 = 61,847.64 : x
  2. Step 2: Convert to fraction form
    84,140.46/126,082.98 = 61,847.64/x
  3. Step 3: Cross multiply
    84,140.46x = 126,082.98 × 61,847.64
  4. Step 4: Simplify right side
    84,140.46x = 7,797,934,757.17
  5. Step 5: Solve for x
    x = 7,797,934,757.17/84,140.46
  6. Step 6: Final answer
    x = 92,677.59

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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.