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Finding the Fourth Proportional to 57,791.69, 86,712.57 and 20,378.48

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Solution

The fourth proportional to 57,791.69, 86,712.57 and 20,378.48 is: 30,576.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,791.69 : 86,712.57 = 20,378.48 : x
  2. Step 2: Convert to fraction form
    57,791.69/86,712.57 = 20,378.48/x
  3. Step 3: Cross multiply
    57,791.69x = 86,712.57 × 20,378.48
  4. Step 4: Simplify right side
    57,791.69x = 1,767,070,590.28
  5. Step 5: Solve for x
    x = 1,767,070,590.28/57,791.69
  6. Step 6: Final answer
    x = 30,576.55

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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.