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Finding the Fourth Proportional to 207,857.60, 311,469.19 and 108,050.21

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Solution

The fourth proportional to 207,857.60, 311,469.19 and 108,050.21 is: 161,910.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,857.60 : 311,469.19 = 108,050.21 : x
  2. Step 2: Convert to fraction form
    207,857.60/311,469.19 = 108,050.21/x
  3. Step 3: Cross multiply
    207,857.60x = 311,469.19 × 108,050.21
  4. Step 4: Simplify right side
    207,857.60x = 33,654,309,560.56
  5. Step 5: Solve for x
    x = 33,654,309,560.56/207,857.60
  6. Step 6: Final answer
    x = 161,910.42

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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.