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Finding the Fourth Proportional to 206,277.42, 309,351.33 and 79,908.92

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Solution

The fourth proportional to 206,277.42, 309,351.33 and 79,908.92 is: 119,838.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,277.42 : 309,351.33 = 79,908.92 : x
  2. Step 2: Convert to fraction form
    206,277.42/309,351.33 = 79,908.92/x
  3. Step 3: Cross multiply
    206,277.42x = 309,351.33 × 79,908.92
  4. Step 4: Simplify right side
    206,277.42x = 24,719,929,134.11
  5. Step 5: Solve for x
    x = 24,719,929,134.11/206,277.42
  6. Step 6: Final answer
    x = 119,838.27

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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.