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Finding the Fourth Proportional to 188,014.65, 281,991.76 and 54,863.72

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Solution

The fourth proportional to 188,014.65, 281,991.76 and 54,863.72 is: 82,286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,014.65 : 281,991.76 = 54,863.72 : x
  2. Step 2: Convert to fraction form
    188,014.65/281,991.76 = 54,863.72/x
  3. Step 3: Cross multiply
    188,014.65x = 281,991.76 × 54,863.72
  4. Step 4: Simplify right side
    188,014.65x = 15,471,115,278.67
  5. Step 5: Solve for x
    x = 15,471,115,278.67/188,014.65
  6. Step 6: Final answer
    x = 82,286.75

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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.