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Finding the Fourth Proportional to 57,578.21, 86,370.41 and 18,138.41

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Solution

The fourth proportional to 57,578.21, 86,370.41 and 18,138.41 is: 27,208.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,578.21 : 86,370.41 = 18,138.41 : x
  2. Step 2: Convert to fraction form
    57,578.21/86,370.41 = 18,138.41/x
  3. Step 3: Cross multiply
    57,578.21x = 86,370.41 × 18,138.41
  4. Step 4: Simplify right side
    57,578.21x = 1,566,621,908.45
  5. Step 5: Solve for x
    x = 1,566,621,908.45/57,578.21
  6. Step 6: Final answer
    x = 27,208.59

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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.