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Finding the Fourth Proportional to 206,097.21, 309,189.89 and 63,939.39

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Solution

The fourth proportional to 206,097.21, 309,189.89 and 63,939.39 is: 95,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,097.21 : 309,189.89 = 63,939.39 : x
  2. Step 2: Convert to fraction form
    206,097.21/309,189.89 = 63,939.39/x
  3. Step 3: Cross multiply
    206,097.21x = 309,189.89 × 63,939.39
  4. Step 4: Simplify right side
    206,097.21x = 19,769,413,700.35
  5. Step 5: Solve for x
    x = 19,769,413,700.35/206,097.21
  6. Step 6: Final answer
    x = 95,922.76

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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.