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Finding the Fourth Proportional to 213,194.01, 319,786.63 and 71,049.61

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Solution

The fourth proportional to 213,194.01, 319,786.63 and 71,049.61 is: 106,572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,194.01 : 319,786.63 = 71,049.61 : x
  2. Step 2: Convert to fraction form
    213,194.01/319,786.63 = 71,049.61/x
  3. Step 3: Cross multiply
    213,194.01x = 319,786.63 × 71,049.61
  4. Step 4: Simplify right side
    213,194.01x = 22,720,713,390.53
  5. Step 5: Solve for x
    x = 22,720,713,390.53/213,194.01
  6. Step 6: Final answer
    x = 106,572.94

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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.