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Finding the Fourth Proportional to 204,711.69, 307,067.49 and 79,965.21

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Solution

The fourth proportional to 204,711.69, 307,067.49 and 79,965.21 is: 119,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,711.69 : 307,067.49 = 79,965.21 : x
  2. Step 2: Convert to fraction form
    204,711.69/307,067.49 = 79,965.21/x
  3. Step 3: Cross multiply
    204,711.69x = 307,067.49 × 79,965.21
  4. Step 4: Simplify right side
    204,711.69x = 24,554,716,322.02
  5. Step 5: Solve for x
    x = 24,554,716,322.02/204,711.69
  6. Step 6: Final answer
    x = 119,947.80

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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.