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Finding the Fourth Proportional to 204,198, 306,297 and 79,626.48

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Solution

The fourth proportional to 204,198, 306,297 and 79,626.48 is: 119,439.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,198 : 306,297 = 79,626.48 : x
  2. Step 2: Convert to fraction form
    204,198/306,297 = 79,626.48/x
  3. Step 3: Cross multiply
    204,198x = 306,297 × 79,626.48
  4. Step 4: Simplify right side
    204,198x = 24,389,351,944.56
  5. Step 5: Solve for x
    x = 24,389,351,944.56/204,198
  6. Step 6: Final answer
    x = 119,439.72

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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.