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Finding the Fourth Proportional to 137,968.30, 206,843.10 and 75,638.80

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Solution

The fourth proportional to 137,968.30, 206,843.10 and 75,638.80 is: 113,398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,968.30 : 206,843.10 = 75,638.80 : x
  2. Step 2: Convert to fraction form
    137,968.30/206,843.10 = 75,638.80/x
  3. Step 3: Cross multiply
    137,968.30x = 206,843.10 × 75,638.80
  4. Step 4: Simplify right side
    137,968.30x = 15,645,363,872.28
  5. Step 5: Solve for x
    x = 15,645,363,872.28/137,968.30
  6. Step 6: Final answer
    x = 113,398.25

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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.