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Finding the Fourth Proportional to 140,231.80, 209,910.30 and 100,865.80

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Solution

The fourth proportional to 140,231.80, 209,910.30 and 100,865.80 is: 150,984.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,231.80 : 209,910.30 = 100,865.80 : x
  2. Step 2: Convert to fraction form
    140,231.80/209,910.30 = 100,865.80/x
  3. Step 3: Cross multiply
    140,231.80x = 209,910.30 × 100,865.80
  4. Step 4: Simplify right side
    140,231.80x = 21,172,770,337.74
  5. Step 5: Solve for x
    x = 21,172,770,337.74/140,231.80
  6. Step 6: Final answer
    x = 150,984.09

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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.