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Finding the Fourth Proportional to 206,326.10, 309,462.80 and 79,879.84

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Solution

The fourth proportional to 206,326.10, 309,462.80 and 79,879.84 is: 119,809.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,326.10 : 309,462.80 = 79,879.84 : x
  2. Step 2: Convert to fraction form
    206,326.10/309,462.80 = 79,879.84/x
  3. Step 3: Cross multiply
    206,326.10x = 309,462.80 × 79,879.84
  4. Step 4: Simplify right side
    206,326.10x = 24,719,837,776.90
  5. Step 5: Solve for x
    x = 24,719,837,776.90/206,326.10
  6. Step 6: Final answer
    x = 119,809.55

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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.