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Finding the Fourth Proportional to 200,539.62, 300,809.84 and 82,189.71

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Solution

The fourth proportional to 200,539.62, 300,809.84 and 82,189.71 is: 123,284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,539.62 : 300,809.84 = 82,189.71 : x
  2. Step 2: Convert to fraction form
    200,539.62/300,809.84 = 82,189.71/x
  3. Step 3: Cross multiply
    200,539.62x = 300,809.84 × 82,189.71
  4. Step 4: Simplify right side
    200,539.62x = 24,723,473,103.80
  5. Step 5: Solve for x
    x = 24,723,473,103.80/200,539.62
  6. Step 6: Final answer
    x = 123,284.73

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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.