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Finding the Fourth Proportional to 122.42, 167.94 and 119.23

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Solution

The fourth proportional to 122.42, 167.94 and 119.23 is: 163.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.42 : 167.94 = 119.23 : x
  2. Step 2: Convert to fraction form
    122.42/167.94 = 119.23/x
  3. Step 3: Cross multiply
    122.42x = 167.94 × 119.23
  4. Step 4: Simplify right side
    122.42x = 20,023.49
  5. Step 5: Solve for x
    x = 20,023.49/122.42
  6. Step 6: Final answer
    x = 163.56

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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.