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Finding the Fourth Proportional to 137,843.57, 206,733.77 and 38,012.49

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Solution

The fourth proportional to 137,843.57, 206,733.77 and 38,012.49 is: 57,010.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,843.57 : 206,733.77 = 38,012.49 : x
  2. Step 2: Convert to fraction form
    137,843.57/206,733.77 = 38,012.49/x
  3. Step 3: Cross multiply
    137,843.57x = 206,733.77 × 38,012.49
  4. Step 4: Simplify right side
    137,843.57x = 7,858,465,317.27
  5. Step 5: Solve for x
    x = 7,858,465,317.27/137,843.57
  6. Step 6: Final answer
    x = 57,010.02

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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.