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Finding the Fourth Proportional to 204,394.78, 306,480.99 and 71,239.30

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Solution

The fourth proportional to 204,394.78, 306,480.99 and 71,239.30 is: 106,820.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,394.78 : 306,480.99 = 71,239.30 : x
  2. Step 2: Convert to fraction form
    204,394.78/306,480.99 = 71,239.30/x
  3. Step 3: Cross multiply
    204,394.78x = 306,480.99 × 71,239.30
  4. Step 4: Simplify right side
    204,394.78x = 21,833,491,190.91
  5. Step 5: Solve for x
    x = 21,833,491,190.91/204,394.78
  6. Step 6: Final answer
    x = 106,820.20

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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.