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Finding the Fourth Proportional to 122.48, 167.92 and 119.42

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Solution

The fourth proportional to 122.48, 167.92 and 119.42 is: 163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.48 : 167.92 = 119.42 : x
  2. Step 2: Convert to fraction form
    122.48/167.92 = 119.42/x
  3. Step 3: Cross multiply
    122.48x = 167.92 × 119.42
  4. Step 4: Simplify right side
    122.48x = 20,053.01
  5. Step 5: Solve for x
    x = 20,053.01/122.48
  6. Step 6: Final answer
    x = 163.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.