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Finding the Fourth Proportional to 121.42, 167.42 and 98.04

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Solution

The fourth proportional to 121.42, 167.42 and 98.04 is: 135.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.42 : 167.42 = 98.04 : x
  2. Step 2: Convert to fraction form
    121.42/167.42 = 98.04/x
  3. Step 3: Cross multiply
    121.42x = 167.42 × 98.04
  4. Step 4: Simplify right side
    121.42x = 16,413.86
  5. Step 5: Solve for x
    x = 16,413.86/121.42
  6. Step 6: Final answer
    x = 135.18

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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.