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Finding the Fourth Proportional to 225,818.75, 311,643.86 and 125,216.75

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Solution

The fourth proportional to 225,818.75, 311,643.86 and 125,216.75 is: 172,806.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,818.75 : 311,643.86 = 125,216.75 : x
  2. Step 2: Convert to fraction form
    225,818.75/311,643.86 = 125,216.75/x
  3. Step 3: Cross multiply
    225,818.75x = 311,643.86 × 125,216.75
  4. Step 4: Simplify right side
    225,818.75x = 39,023,031,306.66
  5. Step 5: Solve for x
    x = 39,023,031,306.66/225,818.75
  6. Step 6: Final answer
    x = 172,806.87

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1.5x scale

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.