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Finding the Fourth Proportional to 188,014.71, 281,991.85 and 54,863.78

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Solution

The fourth proportional to 188,014.71, 281,991.85 and 54,863.78 is: 82,286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,014.71 : 281,991.85 = 54,863.78 : x
  2. Step 2: Convert to fraction form
    188,014.71/281,991.85 = 54,863.78/x
  3. Step 3: Cross multiply
    188,014.71x = 281,991.85 × 54,863.78
  4. Step 4: Simplify right side
    188,014.71x = 15,471,137,273.07
  5. Step 5: Solve for x
    x = 15,471,137,273.07/188,014.71
  6. Step 6: Final answer
    x = 82,286.84

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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.