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Finding the Fourth Proportional to 140.06, 209.89 and 79.11

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Solution

The fourth proportional to 140.06, 209.89 and 79.11 is: 118.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.06 : 209.89 = 79.11 : x
  2. Step 2: Convert to fraction form
    140.06/209.89 = 79.11/x
  3. Step 3: Cross multiply
    140.06x = 209.89 × 79.11
  4. Step 4: Simplify right side
    140.06x = 16,604.50
  5. Step 5: Solve for x
    x = 16,604.50/140.06
  6. Step 6: Final answer
    x = 118.55

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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.