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Finding the Fourth Proportional to 137,638.42, 206,390.81 and 80,727.82

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Solution

The fourth proportional to 137,638.42, 206,390.81 and 80,727.82 is: 121,052.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,638.42 : 206,390.81 = 80,727.82 : x
  2. Step 2: Convert to fraction form
    137,638.42/206,390.81 = 80,727.82/x
  3. Step 3: Cross multiply
    137,638.42x = 206,390.81 × 80,727.82
  4. Step 4: Simplify right side
    137,638.42x = 16,661,479,755.70
  5. Step 5: Solve for x
    x = 16,661,479,755.70/137,638.42
  6. Step 6: Final answer
    x = 121,052.54

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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.