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Finding the Fourth Proportional to 57,380.97, 86,068.11 and 25,782.87

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Solution

The fourth proportional to 57,380.97, 86,068.11 and 25,782.87 is: 38,672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,380.97 : 86,068.11 = 25,782.87 : x
  2. Step 2: Convert to fraction form
    57,380.97/86,068.11 = 25,782.87/x
  3. Step 3: Cross multiply
    57,380.97x = 86,068.11 × 25,782.87
  4. Step 4: Simplify right side
    57,380.97x = 2,219,082,891.28
  5. Step 5: Solve for x
    x = 2,219,082,891.28/57,380.97
  6. Step 6: Final answer
    x = 38,672.80

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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.