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Finding the Fourth Proportional to 206,455.34, 309,713.79 and 73,324.42

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Solution

The fourth proportional to 206,455.34, 309,713.79 and 73,324.42 is: 109,997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,455.34 : 309,713.79 = 73,324.42 : x
  2. Step 2: Convert to fraction form
    206,455.34/309,713.79 = 73,324.42/x
  3. Step 3: Cross multiply
    206,455.34x = 309,713.79 × 73,324.42
  4. Step 4: Simplify right side
    206,455.34x = 22,709,584,017.75
  5. Step 5: Solve for x
    x = 22,709,584,017.75/206,455.34
  6. Step 6: Final answer
    x = 109,997.56

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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.