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Finding the Fourth Proportional to 137,684.75, 206,489.57 and 37,821.20

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Solution

The fourth proportional to 137,684.75, 206,489.57 and 37,821.20 is: 56,721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,684.75 : 206,489.57 = 37,821.20 : x
  2. Step 2: Convert to fraction form
    137,684.75/206,489.57 = 37,821.20/x
  3. Step 3: Cross multiply
    137,684.75x = 206,489.57 × 37,821.20
  4. Step 4: Simplify right side
    137,684.75x = 7,809,682,103.33
  5. Step 5: Solve for x
    x = 7,809,682,103.33/137,684.75
  6. Step 6: Final answer
    x = 56,721.48

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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.