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Finding the Fourth Proportional to 121.73, 169.11 and 120.60

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Solution

The fourth proportional to 121.73, 169.11 and 120.60 is: 167.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.73 : 169.11 = 120.60 : x
  2. Step 2: Convert to fraction form
    121.73/169.11 = 120.60/x
  3. Step 3: Cross multiply
    121.73x = 169.11 × 120.60
  4. Step 4: Simplify right side
    121.73x = 20,394.67
  5. Step 5: Solve for x
    x = 20,394.67/121.73
  6. Step 6: Final answer
    x = 167.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.