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Finding the Fourth Proportional to 123.73, 169.59 and 121.91

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Solution

The fourth proportional to 123.73, 169.59 and 121.91 is: 167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.73 : 169.59 = 121.91 : x
  2. Step 2: Convert to fraction form
    123.73/169.59 = 121.91/x
  3. Step 3: Cross multiply
    123.73x = 169.59 × 121.91
  4. Step 4: Simplify right side
    123.73x = 20,674.33
  5. Step 5: Solve for x
    x = 20,674.33/123.73
  6. Step 6: Final answer
    x = 167.10

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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.