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Finding the Fourth Proportional to 112.20, 167.61 and 111.66

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Solution

The fourth proportional to 112.20, 167.61 and 111.66 is: 166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.20 : 167.61 = 111.66 : x
  2. Step 2: Convert to fraction form
    112.20/167.61 = 111.66/x
  3. Step 3: Cross multiply
    112.20x = 167.61 × 111.66
  4. Step 4: Simplify right side
    112.20x = 18,715.33
  5. Step 5: Solve for x
    x = 18,715.33/112.20
  6. Step 6: Final answer
    x = 166.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.