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Finding the Fourth Proportional to 225,673.76, 338,178.49 and 99,198.20

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Solution

The fourth proportional to 225,673.76, 338,178.49 and 99,198.20 is: 148,651.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,673.76 : 338,178.49 = 99,198.20 : x
  2. Step 2: Convert to fraction form
    225,673.76/338,178.49 = 99,198.20/x
  3. Step 3: Cross multiply
    225,673.76x = 338,178.49 × 99,198.20
  4. Step 4: Simplify right side
    225,673.76x = 33,546,698,084.17
  5. Step 5: Solve for x
    x = 33,546,698,084.17/225,673.76
  6. Step 6: Final answer
    x = 148,651.30

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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.