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Finding the Fourth Proportional to 139,471.84, 209,296.86 and 50,716.90

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Solution

The fourth proportional to 139,471.84, 209,296.86 and 50,716.90 is: 76,107.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,471.84 : 209,296.86 = 50,716.90 : x
  2. Step 2: Convert to fraction form
    139,471.84/209,296.86 = 50,716.90/x
  3. Step 3: Cross multiply
    139,471.84x = 209,296.86 × 50,716.90
  4. Step 4: Simplify right side
    139,471.84x = 10,614,887,918.93
  5. Step 5: Solve for x
    x = 10,614,887,918.93/139,471.84
  6. Step 6: Final answer
    x = 76,107.75

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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.