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Finding the Fourth Proportional to 121.61, 166.88 and 111.27

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Solution

The fourth proportional to 121.61, 166.88 and 111.27 is: 152.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.61 : 166.88 = 111.27 : x
  2. Step 2: Convert to fraction form
    121.61/166.88 = 111.27/x
  3. Step 3: Cross multiply
    121.61x = 166.88 × 111.27
  4. Step 4: Simplify right side
    121.61x = 18,568.18
  5. Step 5: Solve for x
    x = 18,568.18/121.61
  6. Step 6: Final answer
    x = 152.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.