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Finding the Fourth Proportional to 199,122, 298,683 and 67,794

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Solution

The fourth proportional to 199,122, 298,683 and 67,794 is: 101,691

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,122 : 298,683 = 67,794 : x
  2. Step 2: Convert to fraction form
    199,122/298,683 = 67,794/x
  3. Step 3: Cross multiply
    199,122x = 298,683 × 67,794
  4. Step 4: Simplify right side
    199,122x = 20,248,915,302
  5. Step 5: Solve for x
    x = 20,248,915,302/199,122
  6. Step 6: Final answer
    x = 101,691

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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.