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Finding the Fourth Proportional to 121.85, 168.23 and 110.16

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Solution

The fourth proportional to 121.85, 168.23 and 110.16 is: 152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.85 : 168.23 = 110.16 : x
  2. Step 2: Convert to fraction form
    121.85/168.23 = 110.16/x
  3. Step 3: Cross multiply
    121.85x = 168.23 × 110.16
  4. Step 4: Simplify right side
    121.85x = 18,531.87
  5. Step 5: Solve for x
    x = 18,531.87/121.85
  6. Step 6: Final answer
    x = 152.08

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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.