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Finding the Fourth Proportional to 225,836.70, 311,654.64 and 125,234.70

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Solution

The fourth proportional to 225,836.70, 311,654.64 and 125,234.70 is: 172,823.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,836.70 : 311,654.64 = 125,234.70 : x
  2. Step 2: Convert to fraction form
    225,836.70/311,654.64 = 125,234.70/x
  3. Step 3: Cross multiply
    225,836.70x = 311,654.64 × 125,234.70
  4. Step 4: Simplify right side
    225,836.70x = 39,029,975,344.01
  5. Step 5: Solve for x
    x = 39,029,975,344.01/225,836.70
  6. Step 6: Final answer
    x = 172,823.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.