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Finding the Fourth Proportional to 199,204, 298,857.20 and 67,876

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Solution

The fourth proportional to 199,204, 298,857.20 and 67,876 is: 101,831.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,204 : 298,857.20 = 67,876 : x
  2. Step 2: Convert to fraction form
    199,204/298,857.20 = 67,876/x
  3. Step 3: Cross multiply
    199,204x = 298,857.20 × 67,876
  4. Step 4: Simplify right side
    199,204x = 20,285,231,307.20
  5. Step 5: Solve for x
    x = 20,285,231,307.20/199,204
  6. Step 6: Final answer
    x = 101,831.45

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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.