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Finding the Fourth Proportional to 225,449, 311,119.71 and 124,847

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Solution

The fourth proportional to 225,449, 311,119.71 and 124,847 is: 172,288.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,449 : 311,119.71 = 124,847 : x
  2. Step 2: Convert to fraction form
    225,449/311,119.71 = 124,847/x
  3. Step 3: Cross multiply
    225,449x = 311,119.71 × 124,847
  4. Step 4: Simplify right side
    225,449x = 38,842,362,434.37
  5. Step 5: Solve for x
    x = 38,842,362,434.37/225,449
  6. Step 6: Final answer
    x = 172,288.91

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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.