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Finding the Fourth Proportional to 139,538.52, 192,495.48 and 82,909.80

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Solution

The fourth proportional to 139,538.52, 192,495.48 and 82,909.80 is: 114,375.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,538.52 : 192,495.48 = 82,909.80 : x
  2. Step 2: Convert to fraction form
    139,538.52/192,495.48 = 82,909.80/x
  3. Step 3: Cross multiply
    139,538.52x = 192,495.48 × 82,909.80
  4. Step 4: Simplify right side
    139,538.52x = 15,959,761,747.70
  5. Step 5: Solve for x
    x = 15,959,761,747.70/139,538.52
  6. Step 6: Final answer
    x = 114,375.31

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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.