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Finding the Fourth Proportional to 204,735.87, 306,958.32 and 78,269.49

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Solution

The fourth proportional to 204,735.87, 306,958.32 and 78,269.49 is: 117,348.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,735.87 : 306,958.32 = 78,269.49 : x
  2. Step 2: Convert to fraction form
    204,735.87/306,958.32 = 78,269.49/x
  3. Step 3: Cross multiply
    204,735.87x = 306,958.32 × 78,269.49
  4. Step 4: Simplify right side
    204,735.87x = 24,025,471,157.66
  5. Step 5: Solve for x
    x = 24,025,471,157.66/204,735.87
  6. Step 6: Final answer
    x = 117,348.62

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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.