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Finding the Fourth Proportional to 225,438.75, 338,180.54 and 83,321.28

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Solution

The fourth proportional to 225,438.75, 338,180.54 and 83,321.28 is: 124,990.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,438.75 : 338,180.54 = 83,321.28 : x
  2. Step 2: Convert to fraction form
    225,438.75/338,180.54 = 83,321.28/x
  3. Step 3: Cross multiply
    225,438.75x = 338,180.54 × 83,321.28
  4. Step 4: Simplify right side
    225,438.75x = 28,177,635,047.28
  5. Step 5: Solve for x
    x = 28,177,635,047.28/225,438.75
  6. Step 6: Final answer
    x = 124,990.20

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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.