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Finding the Fourth Proportional to 81,681.74, 122,531.08 and 22,517.42

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Solution

The fourth proportional to 81,681.74, 122,531.08 and 22,517.42 is: 33,778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,681.74 : 122,531.08 = 22,517.42 : x
  2. Step 2: Convert to fraction form
    81,681.74/122,531.08 = 22,517.42/x
  3. Step 3: Cross multiply
    81,681.74x = 122,531.08 × 22,517.42
  4. Step 4: Simplify right side
    81,681.74x = 2,759,083,791.41
  5. Step 5: Solve for x
    x = 2,759,083,791.41/81,681.74
  6. Step 6: Final answer
    x = 33,778.46

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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.