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Finding the Fourth Proportional to 101.67, 140.20 and 85.27

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Solution

The fourth proportional to 101.67, 140.20 and 85.27 is: 117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.67 : 140.20 = 85.27 : x
  2. Step 2: Convert to fraction form
    101.67/140.20 = 85.27/x
  3. Step 3: Cross multiply
    101.67x = 140.20 × 85.27
  4. Step 4: Simplify right side
    101.67x = 11,954.85
  5. Step 5: Solve for x
    x = 11,954.85/101.67
  6. Step 6: Final answer
    x = 117.58

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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.