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Finding the Fourth Proportional to 54,987.48, 82,481.16 and 13,434.48

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Solution

The fourth proportional to 54,987.48, 82,481.16 and 13,434.48 is: 20,151.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,987.48 : 82,481.16 = 13,434.48 : x
  2. Step 2: Convert to fraction form
    54,987.48/82,481.16 = 13,434.48/x
  3. Step 3: Cross multiply
    54,987.48x = 82,481.16 × 13,434.48
  4. Step 4: Simplify right side
    54,987.48x = 1,108,091,494.40
  5. Step 5: Solve for x
    x = 1,108,091,494.40/54,987.48
  6. Step 6: Final answer
    x = 20,151.71

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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.