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Finding the Fourth Proportional to 206,330.86, 309,469.92 and 79,884.60

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Solution

The fourth proportional to 206,330.86, 309,469.92 and 79,884.60 is: 119,816.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,330.86 : 309,469.92 = 79,884.60 : x
  2. Step 2: Convert to fraction form
    206,330.86/309,469.92 = 79,884.60/x
  3. Step 3: Cross multiply
    206,330.86x = 309,469.92 × 79,884.60
  4. Step 4: Simplify right side
    206,330.86x = 24,721,880,771.23
  5. Step 5: Solve for x
    x = 24,721,880,771.23/206,330.86
  6. Step 6: Final answer
    x = 119,816.69

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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.