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Finding the Fourth Proportional to 225,996, 338,984.28 and 68,219.75

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Solution

The fourth proportional to 225,996, 338,984.28 and 68,219.75 is: 102,326.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,996 : 338,984.28 = 68,219.75 : x
  2. Step 2: Convert to fraction form
    225,996/338,984.28 = 68,219.75/x
  3. Step 3: Cross multiply
    225,996x = 338,984.28 × 68,219.75
  4. Step 4: Simplify right side
    225,996x = 23,125,421,140.61
  5. Step 5: Solve for x
    x = 23,125,421,140.61/225,996
  6. Step 6: Final answer
    x = 102,326.68

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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.