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Finding the Fourth Proportional to 54,585.78, 81,874.86 and 21,299.64

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Solution

The fourth proportional to 54,585.78, 81,874.86 and 21,299.64 is: 31,947.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,585.78 : 81,874.86 = 21,299.64 : x
  2. Step 2: Convert to fraction form
    54,585.78/81,874.86 = 21,299.64/x
  3. Step 3: Cross multiply
    54,585.78x = 81,874.86 × 21,299.64
  4. Step 4: Simplify right side
    54,585.78x = 1,743,905,043.05
  5. Step 5: Solve for x
    x = 1,743,905,043.05/54,585.78
  6. Step 6: Final answer
    x = 31,947.97

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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.