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Finding the Fourth Proportional to 259,694.64, 389,522.52 and 91,216.44

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Solution

The fourth proportional to 259,694.64, 389,522.52 and 91,216.44 is: 136,817.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,694.64 : 389,522.52 = 91,216.44 : x
  2. Step 2: Convert to fraction form
    259,694.64/389,522.52 = 91,216.44/x
  3. Step 3: Cross multiply
    259,694.64x = 389,522.52 × 91,216.44
  4. Step 4: Simplify right side
    259,694.64x = 35,530,857,574.23
  5. Step 5: Solve for x
    x = 35,530,857,574.23/259,694.64
  6. Step 6: Final answer
    x = 136,817.83

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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.