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Finding the Fourth Proportional to 140.05, 209.62 and 74.96

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Solution

The fourth proportional to 140.05, 209.62 and 74.96 is: 112.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.05 : 209.62 = 74.96 : x
  2. Step 2: Convert to fraction form
    140.05/209.62 = 74.96/x
  3. Step 3: Cross multiply
    140.05x = 209.62 × 74.96
  4. Step 4: Simplify right side
    140.05x = 15,711.69
  5. Step 5: Solve for x
    x = 15,711.69/140.05
  6. Step 6: Final answer
    x = 112.19

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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.