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Finding the Fourth Proportional to 225,725.91, 311,494.99 and 123,747.88

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Solution

The fourth proportional to 225,725.91, 311,494.99 and 123,747.88 is: 170,768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,725.91 : 311,494.99 = 123,747.88 : x
  2. Step 2: Convert to fraction form
    225,725.91/311,494.99 = 123,747.88/x
  3. Step 3: Cross multiply
    225,725.91x = 311,494.99 × 123,747.88
  4. Step 4: Simplify right side
    225,725.91x = 38,546,844,643.12
  5. Step 5: Solve for x
    x = 38,546,844,643.12/225,725.91
  6. Step 6: Final answer
    x = 170,768.37

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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.