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Finding the Fourth Proportional to 123.91, 171.23 and 102.04

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Solution

The fourth proportional to 123.91, 171.23 and 102.04 is: 141.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.91 : 171.23 = 102.04 : x
  2. Step 2: Convert to fraction form
    123.91/171.23 = 102.04/x
  3. Step 3: Cross multiply
    123.91x = 171.23 × 102.04
  4. Step 4: Simplify right side
    123.91x = 17,471.37
  5. Step 5: Solve for x
    x = 17,471.37/123.91
  6. Step 6: Final answer
    x = 141.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.