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Finding the Fourth Proportional to 259,716.69, 389,536.07 and 82,200.69

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Solution

The fourth proportional to 259,716.69, 389,536.07 and 82,200.69 is: 123,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,716.69 : 389,536.07 = 82,200.69 : x
  2. Step 2: Convert to fraction form
    259,716.69/389,536.07 = 82,200.69/x
  3. Step 3: Cross multiply
    259,716.69x = 389,536.07 × 82,200.69
  4. Step 4: Simplify right side
    259,716.69x = 32,020,133,322.88
  5. Step 5: Solve for x
    x = 32,020,133,322.88/259,716.69
  6. Step 6: Final answer
    x = 123,288.70

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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.