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Finding the Fourth Proportional to 206,584.38, 309,767.55 and 64,403.15

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Solution

The fourth proportional to 206,584.38, 309,767.55 and 64,403.15 is: 96,570.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,584.38 : 309,767.55 = 64,403.15 : x
  2. Step 2: Convert to fraction form
    206,584.38/309,767.55 = 64,403.15/x
  3. Step 3: Cross multiply
    206,584.38x = 309,767.55 × 64,403.15
  4. Step 4: Simplify right side
    206,584.38x = 19,950,004,197.43
  5. Step 5: Solve for x
    x = 19,950,004,197.43/206,584.38
  6. Step 6: Final answer
    x = 96,570.73

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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.