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Finding the Fourth Proportional to 137,879.82, 190,244.63 and 80,493.08

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Solution

The fourth proportional to 137,879.82, 190,244.63 and 80,493.08 is: 111,063.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,879.82 : 190,244.63 = 80,493.08 : x
  2. Step 2: Convert to fraction form
    137,879.82/190,244.63 = 80,493.08/x
  3. Step 3: Cross multiply
    137,879.82x = 190,244.63 × 80,493.08
  4. Step 4: Simplify right side
    137,879.82x = 15,313,375,472.17
  5. Step 5: Solve for x
    x = 15,313,375,472.17/137,879.82
  6. Step 6: Final answer
    x = 111,063.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.