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Finding the Fourth Proportional to 54,843.36, 82,264.32 and 13,290.72

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Solution

The fourth proportional to 54,843.36, 82,264.32 and 13,290.72 is: 19,935.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,843.36 : 82,264.32 = 13,290.72 : x
  2. Step 2: Convert to fraction form
    54,843.36/82,264.32 = 13,290.72/x
  3. Step 3: Cross multiply
    54,843.36x = 82,264.32 × 13,290.72
  4. Step 4: Simplify right side
    54,843.36x = 1,093,352,043.11
  5. Step 5: Solve for x
    x = 1,093,352,043.11/54,843.36
  6. Step 6: Final answer
    x = 19,935.91

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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.