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Finding the Fourth Proportional to 81,851.81, 122,778.62 and 22,687.98

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Solution

The fourth proportional to 81,851.81, 122,778.62 and 22,687.98 is: 34,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,851.81 : 122,778.62 = 22,687.98 : x
  2. Step 2: Convert to fraction form
    81,851.81/122,778.62 = 22,687.98/x
  3. Step 3: Cross multiply
    81,851.81x = 122,778.62 × 22,687.98
  4. Step 4: Simplify right side
    81,851.81x = 2,785,598,761.55
  5. Step 5: Solve for x
    x = 2,785,598,761.55/81,851.81
  6. Step 6: Final answer
    x = 34,032.22

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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.