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Finding the Fourth Proportional to 204,081.70, 306,122.55 and 119,882.20

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Solution

The fourth proportional to 204,081.70, 306,122.55 and 119,882.20 is: 179,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,081.70 : 306,122.55 = 119,882.20 : x
  2. Step 2: Convert to fraction form
    204,081.70/306,122.55 = 119,882.20/x
  3. Step 3: Cross multiply
    204,081.70x = 306,122.55 × 119,882.20
  4. Step 4: Simplify right side
    204,081.70x = 36,698,644,763.61
  5. Step 5: Solve for x
    x = 36,698,644,763.61/204,081.70
  6. Step 6: Final answer
    x = 179,823.30

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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.