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Finding the Fourth Proportional to 81.44, 122.72 and 67.31

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Solution

The fourth proportional to 81.44, 122.72 and 67.31 is: 101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.44 : 122.72 = 67.31 : x
  2. Step 2: Convert to fraction form
    81.44/122.72 = 67.31/x
  3. Step 3: Cross multiply
    81.44x = 122.72 × 67.31
  4. Step 4: Simplify right side
    81.44x = 8,260.25
  5. Step 5: Solve for x
    x = 8,260.25/81.44
  6. Step 6: Final answer
    x = 101.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.