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Finding the Fourth Proportional to 204,821.20, 307,231.80 and 111,278.80

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Solution

The fourth proportional to 204,821.20, 307,231.80 and 111,278.80 is: 166,918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,821.20 : 307,231.80 = 111,278.80 : x
  2. Step 2: Convert to fraction form
    204,821.20/307,231.80 = 111,278.80/x
  3. Step 3: Cross multiply
    204,821.20x = 307,231.80 × 111,278.80
  4. Step 4: Simplify right side
    204,821.20x = 34,188,386,025.84
  5. Step 5: Solve for x
    x = 34,188,386,025.84/204,821.20
  6. Step 6: Final answer
    x = 166,918.20

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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.