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Finding the Fourth Proportional to 140,147.55, 210,221.33 and 129,321.90

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Solution

The fourth proportional to 140,147.55, 210,221.33 and 129,321.90 is: 193,982.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,147.55 : 210,221.33 = 129,321.90 : x
  2. Step 2: Convert to fraction form
    140,147.55/210,221.33 = 129,321.90/x
  3. Step 3: Cross multiply
    140,147.55x = 210,221.33 × 129,321.90
  4. Step 4: Simplify right side
    140,147.55x = 27,186,221,169.52
  5. Step 5: Solve for x
    x = 27,186,221,169.52/140,147.55
  6. Step 6: Final answer
    x = 193,982.85

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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.