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Finding the Fourth Proportional to 81,877.80, 122,772.96 and 29,258.58

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Solution

The fourth proportional to 81,877.80, 122,772.96 and 29,258.58 is: 43,872.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,877.80 : 122,772.96 = 29,258.58 : x
  2. Step 2: Convert to fraction form
    81,877.80/122,772.96 = 29,258.58/x
  3. Step 3: Cross multiply
    81,877.80x = 122,772.96 × 29,258.58
  4. Step 4: Simplify right side
    81,877.80x = 3,592,162,472.00
  5. Step 5: Solve for x
    x = 3,592,162,472.00/81,877.80
  6. Step 6: Final answer
    x = 43,872.24

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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.