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Finding the Fourth Proportional to 225,499, 311,198.52 and 124,897

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Solution

The fourth proportional to 225,499, 311,198.52 and 124,897 is: 172,363.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,499 : 311,198.52 = 124,897 : x
  2. Step 2: Convert to fraction form
    225,499/311,198.52 = 124,897/x
  3. Step 3: Cross multiply
    225,499x = 311,198.52 × 124,897
  4. Step 4: Simplify right side
    225,499x = 38,867,761,552.44
  5. Step 5: Solve for x
    x = 38,867,761,552.44/225,499
  6. Step 6: Final answer
    x = 172,363.34

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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.