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Finding the Fourth Proportional to 54,747.29, 82,120.79 and 13,194.29

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Solution

The fourth proportional to 54,747.29, 82,120.79 and 13,194.29 is: 19,791.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,747.29 : 82,120.79 = 13,194.29 : x
  2. Step 2: Convert to fraction form
    54,747.29/82,120.79 = 13,194.29/x
  3. Step 3: Cross multiply
    54,747.29x = 82,120.79 × 13,194.29
  4. Step 4: Simplify right side
    54,747.29x = 1,083,525,682.36
  5. Step 5: Solve for x
    x = 1,083,525,682.36/54,747.29
  6. Step 6: Final answer
    x = 19,791.40

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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.