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Finding the Fourth Proportional to 259,288.68, 388,933.02 and 81,813.54

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Solution

The fourth proportional to 259,288.68, 388,933.02 and 81,813.54 is: 122,720.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,288.68 : 388,933.02 = 81,813.54 : x
  2. Step 2: Convert to fraction form
    259,288.68/388,933.02 = 81,813.54/x
  3. Step 3: Cross multiply
    259,288.68x = 388,933.02 × 81,813.54
  4. Step 4: Simplify right side
    259,288.68x = 31,819,987,189.09
  5. Step 5: Solve for x
    x = 31,819,987,189.09/259,288.68
  6. Step 6: Final answer
    x = 122,720.31

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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.