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Finding the Fourth Proportional to 54,876.78, 82,315.17 and 21,578.65

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Solution

The fourth proportional to 54,876.78, 82,315.17 and 21,578.65 is: 32,367.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,876.78 : 82,315.17 = 21,578.65 : x
  2. Step 2: Convert to fraction form
    54,876.78/82,315.17 = 21,578.65/x
  3. Step 3: Cross multiply
    54,876.78x = 82,315.17 × 21,578.65
  4. Step 4: Simplify right side
    54,876.78x = 1,776,250,243.12
  5. Step 5: Solve for x
    x = 1,776,250,243.12/54,876.78
  6. Step 6: Final answer
    x = 32,367.98

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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.