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Finding the Fourth Proportional to 225,811.98, 311,634.54 and 125,209.98

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Solution

The fourth proportional to 225,811.98, 311,634.54 and 125,209.98 is: 172,797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,811.98 : 311,634.54 = 125,209.98 : x
  2. Step 2: Convert to fraction form
    225,811.98/311,634.54 = 125,209.98/x
  3. Step 3: Cross multiply
    225,811.98x = 311,634.54 × 125,209.98
  4. Step 4: Simplify right side
    225,811.98x = 39,019,754,520.71
  5. Step 5: Solve for x
    x = 39,019,754,520.71/225,811.98
  6. Step 6: Final answer
    x = 172,797.54

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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.