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Finding the Fourth Proportional to 54,093, 81,139.50 and 19,028.64

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Solution

The fourth proportional to 54,093, 81,139.50 and 19,028.64 is: 28,542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,093 : 81,139.50 = 19,028.64 : x
  2. Step 2: Convert to fraction form
    54,093/81,139.50 = 19,028.64/x
  3. Step 3: Cross multiply
    54,093x = 81,139.50 × 19,028.64
  4. Step 4: Simplify right side
    54,093x = 1,543,974,335.28
  5. Step 5: Solve for x
    x = 1,543,974,335.28/54,093
  6. Step 6: Final answer
    x = 28,542.96

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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.