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Finding the Fourth Proportional to 123.59, 171.03 and 115.91

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Solution

The fourth proportional to 123.59, 171.03 and 115.91 is: 160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.59 : 171.03 = 115.91 : x
  2. Step 2: Convert to fraction form
    123.59/171.03 = 115.91/x
  3. Step 3: Cross multiply
    123.59x = 171.03 × 115.91
  4. Step 4: Simplify right side
    123.59x = 19,824.09
  5. Step 5: Solve for x
    x = 19,824.09/123.59
  6. Step 6: Final answer
    x = 160.40

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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.