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Finding the Fourth Proportional to 121.16, 166.78 and 108.66

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Solution

The fourth proportional to 121.16, 166.78 and 108.66 is: 149.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.16 : 166.78 = 108.66 : x
  2. Step 2: Convert to fraction form
    121.16/166.78 = 108.66/x
  3. Step 3: Cross multiply
    121.16x = 166.78 × 108.66
  4. Step 4: Simplify right side
    121.16x = 18,122.31
  5. Step 5: Solve for x
    x = 18,122.31/121.16
  6. Step 6: Final answer
    x = 149.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.