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Finding the Fourth Proportional to 111.33, 167.31 and 81.09

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Solution

The fourth proportional to 111.33, 167.31 and 81.09 is: 121.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.33 : 167.31 = 81.09 : x
  2. Step 2: Convert to fraction form
    111.33/167.31 = 81.09/x
  3. Step 3: Cross multiply
    111.33x = 167.31 × 81.09
  4. Step 4: Simplify right side
    111.33x = 13,567.17
  5. Step 5: Solve for x
    x = 13,567.17/111.33
  6. Step 6: Final answer
    x = 121.86

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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.