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Finding the Fourth Proportional to 225,853.20, 338,563.80 and 83,660.40

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Solution

The fourth proportional to 225,853.20, 338,563.80 and 83,660.40 is: 125,410.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,853.20 : 338,563.80 = 83,660.40 : x
  2. Step 2: Convert to fraction form
    225,853.20/338,563.80 = 83,660.40/x
  3. Step 3: Cross multiply
    225,853.20x = 338,563.80 × 83,660.40
  4. Step 4: Simplify right side
    225,853.20x = 28,324,382,933.52
  5. Step 5: Solve for x
    x = 28,324,382,933.52/225,853.20
  6. Step 6: Final answer
    x = 125,410.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.