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Finding the Fourth Proportional to 54,791.85, 75,615.03 and 30,918.54

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Solution

The fourth proportional to 54,791.85, 75,615.03 and 30,918.54 is: 42,668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,791.85 : 75,615.03 = 30,918.54 : x
  2. Step 2: Convert to fraction form
    54,791.85/75,615.03 = 30,918.54/x
  3. Step 3: Cross multiply
    54,791.85x = 75,615.03 × 30,918.54
  4. Step 4: Simplify right side
    54,791.85x = 2,337,906,329.66
  5. Step 5: Solve for x
    x = 2,337,906,329.66/54,791.85
  6. Step 6: Final answer
    x = 42,668.87

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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.