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Finding the Fourth Proportional to 140.72, 194.14 and 85.42

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Solution

The fourth proportional to 140.72, 194.14 and 85.42 is: 117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.72 : 194.14 = 85.42 : x
  2. Step 2: Convert to fraction form
    140.72/194.14 = 85.42/x
  3. Step 3: Cross multiply
    140.72x = 194.14 × 85.42
  4. Step 4: Simplify right side
    140.72x = 16,583.44
  5. Step 5: Solve for x
    x = 16,583.44/140.72
  6. Step 6: Final answer
    x = 117.85

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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.