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Finding the Fourth Proportional to 137,891.76, 206,786.56 and 49,121.68

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Solution

The fourth proportional to 137,891.76, 206,786.56 and 49,121.68 is: 73,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,891.76 : 206,786.56 = 49,121.68 : x
  2. Step 2: Convert to fraction form
    137,891.76/206,786.56 = 49,121.68/x
  3. Step 3: Cross multiply
    137,891.76x = 206,786.56 × 49,121.68
  4. Step 4: Simplify right side
    137,891.76x = 10,157,703,228.62
  5. Step 5: Solve for x
    x = 10,157,703,228.62/137,891.76
  6. Step 6: Final answer
    x = 73,664.32

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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.