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Finding the Fourth Proportional to 121.50, 167.56 and 80.02

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Solution

The fourth proportional to 121.50, 167.56 and 80.02 is: 110.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.50 : 167.56 = 80.02 : x
  2. Step 2: Convert to fraction form
    121.50/167.56 = 80.02/x
  3. Step 3: Cross multiply
    121.50x = 167.56 × 80.02
  4. Step 4: Simplify right side
    121.50x = 13,408.15
  5. Step 5: Solve for x
    x = 13,408.15/121.50
  6. Step 6: Final answer
    x = 110.36

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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.