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Finding the Fourth Proportional to 140.03, 209.87 and 67.73

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Solution

The fourth proportional to 140.03, 209.87 and 67.73 is: 101.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.03 : 209.87 = 67.73 : x
  2. Step 2: Convert to fraction form
    140.03/209.87 = 67.73/x
  3. Step 3: Cross multiply
    140.03x = 209.87 × 67.73
  4. Step 4: Simplify right side
    140.03x = 14,214.16
  5. Step 5: Solve for x
    x = 14,214.16/140.03
  6. Step 6: Final answer
    x = 101.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.