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Finding the Fourth Proportional to 81,711.60, 112,775.13 and 76,375.32

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Solution

The fourth proportional to 81,711.60, 112,775.13 and 76,375.32 is: 105,410.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,711.60 : 112,775.13 = 76,375.32 : x
  2. Step 2: Convert to fraction form
    81,711.60/112,775.13 = 76,375.32/x
  3. Step 3: Cross multiply
    81,711.60x = 112,775.13 × 76,375.32
  4. Step 4: Simplify right side
    81,711.60x = 8,613,236,641.79
  5. Step 5: Solve for x
    x = 8,613,236,641.79/81,711.60
  6. Step 6: Final answer
    x = 105,410.21

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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.