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Finding the Fourth Proportional to 206,158.29, 309,179.85 and 73,002.79

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Solution

The fourth proportional to 206,158.29, 309,179.85 and 73,002.79 is: 109,483.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,158.29 : 309,179.85 = 73,002.79 : x
  2. Step 2: Convert to fraction form
    206,158.29/309,179.85 = 73,002.79/x
  3. Step 3: Cross multiply
    206,158.29x = 309,179.85 × 73,002.79
  4. Step 4: Simplify right side
    206,158.29x = 22,570,991,661.78
  5. Step 5: Solve for x
    x = 22,570,991,661.78/206,158.29
  6. Step 6: Final answer
    x = 109,483.79

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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.