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Finding the Fourth Proportional to 124, 171.14 and 85.27

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Solution

The fourth proportional to 124, 171.14 and 85.27 is: 117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    124 : 171.14 = 85.27 : x
  2. Step 2: Convert to fraction form
    124/171.14 = 85.27/x
  3. Step 3: Cross multiply
    124x = 171.14 × 85.27
  4. Step 4: Simplify right side
    124x = 14,593.11
  5. Step 5: Solve for x
    x = 14,593.11/124
  6. Step 6: Final answer
    x = 117.69

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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.