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Finding the Fourth Proportional to 111.70, 167.85 and 81.43

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Solution

The fourth proportional to 111.70, 167.85 and 81.43 is: 122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.70 : 167.85 = 81.43 : x
  2. Step 2: Convert to fraction form
    111.70/167.85 = 81.43/x
  3. Step 3: Cross multiply
    111.70x = 167.85 × 81.43
  4. Step 4: Simplify right side
    111.70x = 13,668.03
  5. Step 5: Solve for x
    x = 13,668.03/111.70
  6. Step 6: Final answer
    x = 122.36

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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.