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Finding the Fourth Proportional to 199,134, 298,701 and 67,806

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Solution

The fourth proportional to 199,134, 298,701 and 67,806 is: 101,709

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,134 : 298,701 = 67,806 : x
  2. Step 2: Convert to fraction form
    199,134/298,701 = 67,806/x
  3. Step 3: Cross multiply
    199,134x = 298,701 × 67,806
  4. Step 4: Simplify right side
    199,134x = 20,253,720,006
  5. Step 5: Solve for x
    x = 20,253,720,006/199,134
  6. Step 6: Final answer
    x = 101,709

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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.