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Finding the Fourth Proportional to 225,819.75, 311,645.24 and 125,217.75

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Solution

The fourth proportional to 225,819.75, 311,645.24 and 125,217.75 is: 172,808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,819.75 : 311,645.24 = 125,217.75 : x
  2. Step 2: Convert to fraction form
    225,819.75/311,645.24 = 125,217.75/x
  3. Step 3: Cross multiply
    225,819.75x = 311,645.24 × 125,217.75
  4. Step 4: Simplify right side
    225,819.75x = 39,023,515,751.01
  5. Step 5: Solve for x
    x = 39,023,515,751.01/225,819.75
  6. Step 6: Final answer
    x = 172,808.25

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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.