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Finding the Fourth Proportional to 204,830.80, 307,246.20 and 80,171.80

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Solution

The fourth proportional to 204,830.80, 307,246.20 and 80,171.80 is: 120,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,830.80 : 307,246.20 = 80,171.80 : x
  2. Step 2: Convert to fraction form
    204,830.80/307,246.20 = 80,171.80/x
  3. Step 3: Cross multiply
    204,830.80x = 307,246.20 × 80,171.80
  4. Step 4: Simplify right side
    204,830.80x = 24,632,480,897.16
  5. Step 5: Solve for x
    x = 24,632,480,897.16/204,830.80
  6. Step 6: Final answer
    x = 120,257.70

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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.