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Finding the Fourth Proportional to 81,760.59, 112,872.29 and 55,043.96

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Solution

The fourth proportional to 81,760.59, 112,872.29 and 55,043.96 is: 75,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,760.59 : 112,872.29 = 55,043.96 : x
  2. Step 2: Convert to fraction form
    81,760.59/112,872.29 = 55,043.96/x
  3. Step 3: Cross multiply
    81,760.59x = 112,872.29 × 55,043.96
  4. Step 4: Simplify right side
    81,760.59x = 6,212,936,976.29
  5. Step 5: Solve for x
    x = 6,212,936,976.29/81,760.59
  6. Step 6: Final answer
    x = 75,989.39

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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.