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Finding the Fourth Proportional to 57,147.25, 85,664.37 and 27,108.82

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Solution

The fourth proportional to 57,147.25, 85,664.37 and 27,108.82 is: 40,636.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,147.25 : 85,664.37 = 27,108.82 : x
  2. Step 2: Convert to fraction form
    57,147.25/85,664.37 = 27,108.82/x
  3. Step 3: Cross multiply
    57,147.25x = 85,664.37 × 27,108.82
  4. Step 4: Simplify right side
    57,147.25x = 2,322,259,986.74
  5. Step 5: Solve for x
    x = 2,322,259,986.74/57,147.25
  6. Step 6: Final answer
    x = 40,636.43

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1.5x scale

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.