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Finding the Fourth Proportional to 259,716.70, 389,525.84 and 91,197.42

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Solution

The fourth proportional to 259,716.70, 389,525.84 and 91,197.42 is: 136,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,716.70 : 389,525.84 = 91,197.42 : x
  2. Step 2: Convert to fraction form
    259,716.70/389,525.84 = 91,197.42/x
  3. Step 3: Cross multiply
    259,716.70x = 389,525.84 × 91,197.42
  4. Step 4: Simplify right side
    259,716.70x = 35,523,751,631.33
  5. Step 5: Solve for x
    x = 35,523,751,631.33/259,716.70
  6. Step 6: Final answer
    x = 136,778.85

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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.