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Finding the Fourth Proportional to 54,843.69, 75,676.14 and 30,969.90

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Solution

The fourth proportional to 54,843.69, 75,676.14 and 30,969.90 is: 42,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,843.69 : 75,676.14 = 30,969.90 : x
  2. Step 2: Convert to fraction form
    54,843.69/75,676.14 = 30,969.90/x
  3. Step 3: Cross multiply
    54,843.69x = 75,676.14 × 30,969.90
  4. Step 4: Simplify right side
    54,843.69x = 2,343,682,488.19
  5. Step 5: Solve for x
    x = 2,343,682,488.19/54,843.69
  6. Step 6: Final answer
    x = 42,733.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.