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Finding the Fourth Proportional to 57,682.40, 86,560 and 22,621.12

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Solution

The fourth proportional to 57,682.40, 86,560 and 22,621.12 is: 33,945.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,682.40 : 86,560 = 22,621.12 : x
  2. Step 2: Convert to fraction form
    57,682.40/86,560 = 22,621.12/x
  3. Step 3: Cross multiply
    57,682.40x = 86,560 × 22,621.12
  4. Step 4: Simplify right side
    57,682.40x = 1,958,084,147.20
  5. Step 5: Solve for x
    x = 1,958,084,147.20/57,682.40
  6. Step 6: Final answer
    x = 33,945.95

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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.