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Finding the Fourth Proportional to 81,957.52, 122,858.52 and 29,339.92

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Solution

The fourth proportional to 81,957.52, 122,858.52 and 29,339.92 is: 43,982.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,957.52 : 122,858.52 = 29,339.92 : x
  2. Step 2: Convert to fraction form
    81,957.52/122,858.52 = 29,339.92/x
  3. Step 3: Cross multiply
    81,957.52x = 122,858.52 × 29,339.92
  4. Step 4: Simplify right side
    81,957.52x = 3,604,659,148.12
  5. Step 5: Solve for x
    x = 3,604,659,148.12/81,957.52
  6. Step 6: Final answer
    x = 43,982.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.