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Finding the Fourth Proportional to 206,394.59, 309,620.58 and 73,243.19

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Solution

The fourth proportional to 206,394.59, 309,620.58 and 73,243.19 is: 109,874.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,394.59 : 309,620.58 = 73,243.19 : x
  2. Step 2: Convert to fraction form
    206,394.59/309,620.58 = 73,243.19/x
  3. Step 3: Cross multiply
    206,394.59x = 309,620.58 × 73,243.19
  4. Step 4: Simplify right side
    206,394.59x = 22,677,598,968.85
  5. Step 5: Solve for x
    x = 22,677,598,968.85/206,394.59
  6. Step 6: Final answer
    x = 109,874.97

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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.