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Finding the Fourth Proportional to 205,378.72, 308,182 and 100,198.56

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Solution

The fourth proportional to 205,378.72, 308,182 and 100,198.56 is: 150,353.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,378.72 : 308,182 = 100,198.56 : x
  2. Step 2: Convert to fraction form
    205,378.72/308,182 = 100,198.56/x
  3. Step 3: Cross multiply
    205,378.72x = 308,182 × 100,198.56
  4. Step 4: Simplify right side
    205,378.72x = 30,879,392,617.92
  5. Step 5: Solve for x
    x = 30,879,392,617.92/205,378.72
  6. Step 6: Final answer
    x = 150,353.42

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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.