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Finding the Fourth Proportional to 56,757.88, 78,249.54 and 39,739.24

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Solution

The fourth proportional to 56,757.88, 78,249.54 and 39,739.24 is: 54,786.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,757.88 : 78,249.54 = 39,739.24 : x
  2. Step 2: Convert to fraction form
    56,757.88/78,249.54 = 39,739.24/x
  3. Step 3: Cross multiply
    56,757.88x = 78,249.54 × 39,739.24
  4. Step 4: Simplify right side
    56,757.88x = 3,109,577,249.95
  5. Step 5: Solve for x
    x = 3,109,577,249.95/56,757.88
  6. Step 6: Final answer
    x = 54,786.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.