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Finding the Fourth Proportional to 81,682.54, 122,529.96 and 22,517.71

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Solution

The fourth proportional to 81,682.54, 122,529.96 and 22,517.71 is: 33,778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,682.54 : 122,529.96 = 22,517.71 : x
  2. Step 2: Convert to fraction form
    81,682.54/122,529.96 = 22,517.71/x
  3. Step 3: Cross multiply
    81,682.54x = 122,529.96 × 22,517.71
  4. Step 4: Simplify right side
    81,682.54x = 2,759,093,799.27
  5. Step 5: Solve for x
    x = 2,759,093,799.27/81,682.54
  6. Step 6: Final answer
    x = 33,778.26

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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.