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Finding the Fourth Proportional to 57,687.48, 86,518.26 and 20,751.48

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Solution

The fourth proportional to 57,687.48, 86,518.26 and 20,751.48 is: 31,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,687.48 : 86,518.26 = 20,751.48 : x
  2. Step 2: Convert to fraction form
    57,687.48/86,518.26 = 20,751.48/x
  3. Step 3: Cross multiply
    57,687.48x = 86,518.26 × 20,751.48
  4. Step 4: Simplify right side
    57,687.48x = 1,795,381,942.02
  5. Step 5: Solve for x
    x = 1,795,381,942.02/57,687.48
  6. Step 6: Final answer
    x = 31,122.56

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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.