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Finding the Fourth Proportional to 206,132.86, 309,243.64 and 63,975.43

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Solution

The fourth proportional to 206,132.86, 309,243.64 and 63,975.43 is: 95,976.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,132.86 : 309,243.64 = 63,975.43 : x
  2. Step 2: Convert to fraction form
    206,132.86/309,243.64 = 63,975.43/x
  3. Step 3: Cross multiply
    206,132.86x = 309,243.64 × 63,975.43
  4. Step 4: Simplify right side
    206,132.86x = 19,783,993,910.72
  5. Step 5: Solve for x
    x = 19,783,993,910.72/206,132.86
  6. Step 6: Final answer
    x = 95,976.91

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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.