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Finding the Fourth Proportional to 81,761.43, 112,757.97 and 53,053.68

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Solution

The fourth proportional to 81,761.43, 112,757.97 and 53,053.68 is: 73,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,761.43 : 112,757.97 = 53,053.68 : x
  2. Step 2: Convert to fraction form
    81,761.43/112,757.97 = 53,053.68/x
  3. Step 3: Cross multiply
    81,761.43x = 112,757.97 × 53,053.68
  4. Step 4: Simplify right side
    81,761.43x = 5,982,225,257.83
  5. Step 5: Solve for x
    x = 5,982,225,257.83/81,761.43
  6. Step 6: Final answer
    x = 73,166.84

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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.