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Finding the Fourth Proportional to 123.49, 171.14 and 121.75

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Solution

The fourth proportional to 123.49, 171.14 and 121.75 is: 168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.49 : 171.14 = 121.75 : x
  2. Step 2: Convert to fraction form
    123.49/171.14 = 121.75/x
  3. Step 3: Cross multiply
    123.49x = 171.14 × 121.75
  4. Step 4: Simplify right side
    123.49x = 20,835.99
  5. Step 5: Solve for x
    x = 20,835.99/123.49
  6. Step 6: Final answer
    x = 168.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.