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Finding the Fourth Proportional to 111.74, 167.40 and 81.23

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Solution

The fourth proportional to 111.74, 167.40 and 81.23 is: 121.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.74 : 167.40 = 81.23 : x
  2. Step 2: Convert to fraction form
    111.74/167.40 = 81.23/x
  3. Step 3: Cross multiply
    111.74x = 167.40 × 81.23
  4. Step 4: Simplify right side
    111.74x = 13,597.07
  5. Step 5: Solve for x
    x = 13,597.07/111.74
  6. Step 6: Final answer
    x = 121.69

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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.