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Finding the Fourth Proportional to 123.62, 171.30 and 120.79

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Solution

The fourth proportional to 123.62, 171.30 and 120.79 is: 167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.62 : 171.30 = 120.79 : x
  2. Step 2: Convert to fraction form
    123.62/171.30 = 120.79/x
  3. Step 3: Cross multiply
    123.62x = 171.30 × 120.79
  4. Step 4: Simplify right side
    123.62x = 20,690.47
  5. Step 5: Solve for x
    x = 20,690.47/123.62
  6. Step 6: Final answer
    x = 167.37

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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.