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Finding the Fourth Proportional to 111.49, 167.01 and 81.12

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Solution

The fourth proportional to 111.49, 167.01 and 81.12 is: 121.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.49 : 167.01 = 81.12 : x
  2. Step 2: Convert to fraction form
    111.49/167.01 = 81.12/x
  3. Step 3: Cross multiply
    111.49x = 167.01 × 81.12
  4. Step 4: Simplify right side
    111.49x = 13,547.85
  5. Step 5: Solve for x
    x = 13,547.85/111.49
  6. Step 6: Final answer
    x = 121.52

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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.