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Finding the Fourth Proportional to 200,447.33, 300,670.79 and 82,118.88

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Solution

The fourth proportional to 200,447.33, 300,670.79 and 82,118.88 is: 123,178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,447.33 : 300,670.79 = 82,118.88 : x
  2. Step 2: Convert to fraction form
    200,447.33/300,670.79 = 82,118.88/x
  3. Step 3: Cross multiply
    200,447.33x = 300,670.79 × 82,118.88
  4. Step 4: Simplify right side
    200,447.33x = 24,690,748,112.92
  5. Step 5: Solve for x
    x = 24,690,748,112.92/200,447.33
  6. Step 6: Final answer
    x = 123,178.24

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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.