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Finding the Fourth Proportional to 81,883.80, 122,781.96 and 29,264.58

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Solution

The fourth proportional to 81,883.80, 122,781.96 and 29,264.58 is: 43,881.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,883.80 : 122,781.96 = 29,264.58 : x
  2. Step 2: Convert to fraction form
    81,883.80/122,781.96 = 29,264.58/x
  3. Step 3: Cross multiply
    81,883.80x = 122,781.96 × 29,264.58
  4. Step 4: Simplify right side
    81,883.80x = 3,593,162,490.98
  5. Step 5: Solve for x
    x = 3,593,162,490.98/81,883.80
  6. Step 6: Final answer
    x = 43,881.24

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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.