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Finding the Fourth Proportional to 137,891.49, 206,786.21 and 49,121.43

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Solution

The fourth proportional to 137,891.49, 206,786.21 and 49,121.43 is: 73,663.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,891.49 : 206,786.21 = 49,121.43 : x
  2. Step 2: Convert to fraction form
    137,891.49/206,786.21 = 49,121.43/x
  3. Step 3: Cross multiply
    137,891.49x = 206,786.21 × 49,121.43
  4. Step 4: Simplify right side
    137,891.49x = 10,157,634,093.87
  5. Step 5: Solve for x
    x = 10,157,634,093.87/137,891.49
  6. Step 6: Final answer
    x = 73,663.97

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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.