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Finding the Fourth Proportional to 213,065.13, 319,514.73 and 79,872.78

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Solution

The fourth proportional to 213,065.13, 319,514.73 and 79,872.78 is: 119,778.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,065.13 : 319,514.73 = 79,872.78 : x
  2. Step 2: Convert to fraction form
    213,065.13/319,514.73 = 79,872.78/x
  3. Step 3: Cross multiply
    213,065.13x = 319,514.73 × 79,872.78
  4. Step 4: Simplify right side
    213,065.13x = 25,520,530,634.71
  5. Step 5: Solve for x
    x = 25,520,530,634.71/213,065.13
  6. Step 6: Final answer
    x = 119,778.07

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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.