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Finding the Fourth Proportional to 225,446, 311,115.57 and 124,844

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Solution

The fourth proportional to 225,446, 311,115.57 and 124,844 is: 172,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,446 : 311,115.57 = 124,844 : x
  2. Step 2: Convert to fraction form
    225,446/311,115.57 = 124,844/x
  3. Step 3: Cross multiply
    225,446x = 311,115.57 × 124,844
  4. Step 4: Simplify right side
    225,446x = 38,840,912,221.08
  5. Step 5: Solve for x
    x = 38,840,912,221.08/225,446
  6. Step 6: Final answer
    x = 172,284.77

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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.