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Finding the Fourth Proportional to 139,744.26, 209,619.86 and 50,997.74

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Solution

The fourth proportional to 139,744.26, 209,619.86 and 50,997.74 is: 76,497.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,744.26 : 209,619.86 = 50,997.74 : x
  2. Step 2: Convert to fraction form
    139,744.26/209,619.86 = 50,997.74/x
  3. Step 3: Cross multiply
    139,744.26x = 209,619.86 × 50,997.74
  4. Step 4: Simplify right side
    139,744.26x = 10,690,137,816.03
  5. Step 5: Solve for x
    x = 10,690,137,816.03/139,744.26
  6. Step 6: Final answer
    x = 76,497.87

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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.