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Finding the Fourth Proportional to 83,694.76, 115,449.78 and 56,517.64

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Solution

The fourth proportional to 83,694.76, 115,449.78 and 56,517.64 is: 77,961.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,694.76 : 115,449.78 = 56,517.64 : x
  2. Step 2: Convert to fraction form
    83,694.76/115,449.78 = 56,517.64/x
  3. Step 3: Cross multiply
    83,694.76x = 115,449.78 × 56,517.64
  4. Step 4: Simplify right side
    83,694.76x = 6,524,949,104.12
  5. Step 5: Solve for x
    x = 6,524,949,104.12/83,694.76
  6. Step 6: Final answer
    x = 77,961.26

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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.