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Finding the Fourth Proportional to 54,743.91, 82,115.87 and 13,190.91

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Solution

The fourth proportional to 54,743.91, 82,115.87 and 13,190.91 is: 19,786.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,743.91 : 82,115.87 = 13,190.91 : x
  2. Step 2: Convert to fraction form
    54,743.91/82,115.87 = 13,190.91/x
  3. Step 3: Cross multiply
    54,743.91x = 82,115.87 × 13,190.91
  4. Step 4: Simplify right side
    54,743.91x = 1,083,182,984.79
  5. Step 5: Solve for x
    x = 1,083,182,984.79/54,743.91
  6. Step 6: Final answer
    x = 19,786.37

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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.