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Finding the Fourth Proportional to 121.86, 168.02 and 98.46

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Solution

The fourth proportional to 121.86, 168.02 and 98.46 is: 135.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.86 : 168.02 = 98.46 : x
  2. Step 2: Convert to fraction form
    121.86/168.02 = 98.46/x
  3. Step 3: Cross multiply
    121.86x = 168.02 × 98.46
  4. Step 4: Simplify right side
    121.86x = 16,543.25
  5. Step 5: Solve for x
    x = 16,543.25/121.86
  6. Step 6: Final answer
    x = 135.76

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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.