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Finding the Fourth Proportional to 259,590.88, 389,408.19 and 82,093.96

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Solution

The fourth proportional to 259,590.88, 389,408.19 and 82,093.96 is: 123,147.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,590.88 : 389,408.19 = 82,093.96 : x
  2. Step 2: Convert to fraction form
    259,590.88/389,408.19 = 82,093.96/x
  3. Step 3: Cross multiply
    259,590.88x = 389,408.19 × 82,093.96
  4. Step 4: Simplify right side
    259,590.88x = 31,968,060,373.53
  5. Step 5: Solve for x
    x = 31,968,060,373.53/259,590.88
  6. Step 6: Final answer
    x = 123,147.86

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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.