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Finding the Fourth Proportional to 259,288.26, 388,932.46 and 81,809.16

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Solution

The fourth proportional to 259,288.26, 388,932.46 and 81,809.16 is: 122,713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,288.26 : 388,932.46 = 81,809.16 : x
  2. Step 2: Convert to fraction form
    259,288.26/388,932.46 = 81,809.16/x
  3. Step 3: Cross multiply
    259,288.26x = 388,932.46 × 81,809.16
  4. Step 4: Simplify right side
    259,288.26x = 31,818,237,849.33
  5. Step 5: Solve for x
    x = 31,818,237,849.33/259,288.26
  6. Step 6: Final answer
    x = 122,713.76

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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.