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Finding the Fourth Proportional to 140.07, 209.78 and 71.43

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Solution

The fourth proportional to 140.07, 209.78 and 71.43 is: 106.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.07 : 209.78 = 71.43 : x
  2. Step 2: Convert to fraction form
    140.07/209.78 = 71.43/x
  3. Step 3: Cross multiply
    140.07x = 209.78 × 71.43
  4. Step 4: Simplify right side
    140.07x = 14,983.54
  5. Step 5: Solve for x
    x = 14,983.54/140.07
  6. Step 6: Final answer
    x = 106.97

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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.