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Finding the Fourth Proportional to 225,768, 311,562.84 and 123,793.20

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Solution

The fourth proportional to 225,768, 311,562.84 and 123,793.20 is: 170,836.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,768 : 311,562.84 = 123,793.20 : x
  2. Step 2: Convert to fraction form
    225,768/311,562.84 = 123,793.20/x
  3. Step 3: Cross multiply
    225,768x = 311,562.84 × 123,793.20
  4. Step 4: Simplify right side
    225,768x = 38,569,360,964.69
  5. Step 5: Solve for x
    x = 38,569,360,964.69/225,768
  6. Step 6: Final answer
    x = 170,836.26

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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.