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Finding the Fourth Proportional to 259,659.52, 389,528.64 and 82,107.52

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Solution

The fourth proportional to 259,659.52, 389,528.64 and 82,107.52 is: 123,173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,659.52 : 389,528.64 = 82,107.52 : x
  2. Step 2: Convert to fraction form
    259,659.52/389,528.64 = 82,107.52/x
  3. Step 3: Cross multiply
    259,659.52x = 389,528.64 × 82,107.52
  4. Step 4: Simplify right side
    259,659.52x = 31,983,230,599.37
  5. Step 5: Solve for x
    x = 31,983,230,599.37/259,659.52
  6. Step 6: Final answer
    x = 123,173.73

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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.