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Finding the Fourth Proportional to 123.66, 169.41 and 119.04

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Solution

The fourth proportional to 123.66, 169.41 and 119.04 is: 163.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.66 : 169.41 = 119.04 : x
  2. Step 2: Convert to fraction form
    123.66/169.41 = 119.04/x
  3. Step 3: Cross multiply
    123.66x = 169.41 × 119.04
  4. Step 4: Simplify right side
    123.66x = 20,166.99
  5. Step 5: Solve for x
    x = 20,166.99/123.66
  6. Step 6: Final answer
    x = 163.09

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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.