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Finding the Fourth Proportional to 81,705.62, 112,761.92 and 54,903.94

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Solution

The fourth proportional to 81,705.62, 112,761.92 and 54,903.94 is: 75,772.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,705.62 : 112,761.92 = 54,903.94 : x
  2. Step 2: Convert to fraction form
    81,705.62/112,761.92 = 54,903.94/x
  3. Step 3: Cross multiply
    81,705.62x = 112,761.92 × 54,903.94
  4. Step 4: Simplify right side
    81,705.62x = 6,191,073,689.96
  5. Step 5: Solve for x
    x = 6,191,073,689.96/81,705.62
  6. Step 6: Final answer
    x = 75,772.92

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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.