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Finding the Fourth Proportional to 57,577.91, 86,375.16 and 18,138.20

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Solution

The fourth proportional to 57,577.91, 86,375.16 and 18,138.20 is: 27,209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,577.91 : 86,375.16 = 18,138.20 : x
  2. Step 2: Convert to fraction form
    57,577.91/86,375.16 = 18,138.20/x
  3. Step 3: Cross multiply
    57,577.91x = 86,375.16 × 18,138.20
  4. Step 4: Simplify right side
    57,577.91x = 1,566,689,495.24
  5. Step 5: Solve for x
    x = 1,566,689,495.24/57,577.91
  6. Step 6: Final answer
    x = 27,209.91

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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.