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Finding the Fourth Proportional to 204,733.27, 306,978.94 and 78,382.76

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Solution

The fourth proportional to 204,733.27, 306,978.94 and 78,382.76 is: 117,527.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,733.27 : 306,978.94 = 78,382.76 : x
  2. Step 2: Convert to fraction form
    204,733.27/306,978.94 = 78,382.76/x
  3. Step 3: Cross multiply
    204,733.27x = 306,978.94 × 78,382.76
  4. Step 4: Simplify right side
    204,733.27x = 24,061,857,511.84
  5. Step 5: Solve for x
    x = 24,061,857,511.84/204,733.27
  6. Step 6: Final answer
    x = 117,527.83

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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.