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Finding the Fourth Proportional to 122.05, 168.34 and 80.61

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Solution

The fourth proportional to 122.05, 168.34 and 80.61 is: 111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.05 : 168.34 = 80.61 : x
  2. Step 2: Convert to fraction form
    122.05/168.34 = 80.61/x
  3. Step 3: Cross multiply
    122.05x = 168.34 × 80.61
  4. Step 4: Simplify right side
    122.05x = 13,569.89
  5. Step 5: Solve for x
    x = 13,569.89/122.05
  6. Step 6: Final answer
    x = 111.19

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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.