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Finding the Fourth Proportional to 198,466, 273,887.40 and 109,042

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Solution

The fourth proportional to 198,466, 273,887.40 and 109,042 is: 150,480.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,466 : 273,887.40 = 109,042 : x
  2. Step 2: Convert to fraction form
    198,466/273,887.40 = 109,042/x
  3. Step 3: Cross multiply
    198,466x = 273,887.40 × 109,042
  4. Step 4: Simplify right side
    198,466x = 29,865,229,870.80
  5. Step 5: Solve for x
    x = 29,865,229,870.80/198,466
  6. Step 6: Final answer
    x = 150,480.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.