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Finding the Fourth Proportional to 57,852.57, 86,791.88 and 20,415.31

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Solution

The fourth proportional to 57,852.57, 86,791.88 and 20,415.31 is: 30,627.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,852.57 : 86,791.88 = 20,415.31 : x
  2. Step 2: Convert to fraction form
    57,852.57/86,791.88 = 20,415.31/x
  3. Step 3: Cross multiply
    57,852.57x = 86,791.88 × 20,415.31
  4. Step 4: Simplify right side
    57,852.57x = 1,771,883,135.68
  5. Step 5: Solve for x
    x = 1,771,883,135.68/57,852.57
  6. Step 6: Final answer
    x = 30,627.56

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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.