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Finding the Fourth Proportional to 123.85, 169.67 and 119.23

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Solution

The fourth proportional to 123.85, 169.67 and 119.23 is: 163.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.85 : 169.67 = 119.23 : x
  2. Step 2: Convert to fraction form
    123.85/169.67 = 119.23/x
  3. Step 3: Cross multiply
    123.85x = 169.67 × 119.23
  4. Step 4: Simplify right side
    123.85x = 20,229.82
  5. Step 5: Solve for x
    x = 20,229.82/123.85
  6. Step 6: Final answer
    x = 163.34

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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.