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Finding the Fourth Proportional to 78,761.92, 117,640.80 and 71,254

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Solution

The fourth proportional to 78,761.92, 117,640.80 and 71,254 is: 106,426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,761.92 : 117,640.80 = 71,254 : x
  2. Step 2: Convert to fraction form
    78,761.92/117,640.80 = 71,254/x
  3. Step 3: Cross multiply
    78,761.92x = 117,640.80 × 71,254
  4. Step 4: Simplify right side
    78,761.92x = 8,382,377,563.20
  5. Step 5: Solve for x
    x = 8,382,377,563.20/78,761.92
  6. Step 6: Final answer
    x = 106,426.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.