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Finding the Fourth Proportional to 206,015.20, 309,071 and 63,853.08

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Solution

The fourth proportional to 206,015.20, 309,071 and 63,853.08 is: 95,794.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,015.20 : 309,071 = 63,853.08 : x
  2. Step 2: Convert to fraction form
    206,015.20/309,071 = 63,853.08/x
  3. Step 3: Cross multiply
    206,015.20x = 309,071 × 63,853.08
  4. Step 4: Simplify right side
    206,015.20x = 19,735,135,288.68
  5. Step 5: Solve for x
    x = 19,735,135,288.68/206,015.20
  6. Step 6: Final answer
    x = 95,794.56

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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.