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Finding the Fourth Proportional to 123.24, 171 and 122.20

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Solution

The fourth proportional to 123.24, 171 and 122.20 is: 169.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.24 : 171 = 122.20 : x
  2. Step 2: Convert to fraction form
    123.24/171 = 122.20/x
  3. Step 3: Cross multiply
    123.24x = 171 × 122.20
  4. Step 4: Simplify right side
    123.24x = 20,896.20
  5. Step 5: Solve for x
    x = 20,896.20/123.24
  6. Step 6: Final answer
    x = 169.56

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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.