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Finding the Fourth Proportional to 259,318.89, 388,978.40 and 81,839.79

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Solution

The fourth proportional to 259,318.89, 388,978.40 and 81,839.79 is: 122,759.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,318.89 : 388,978.40 = 81,839.79 : x
  2. Step 2: Convert to fraction form
    259,318.89/388,978.40 = 81,839.79/x
  3. Step 3: Cross multiply
    259,318.89x = 388,978.40 × 81,839.79
  4. Step 4: Simplify right side
    259,318.89x = 31,833,910,775.14
  5. Step 5: Solve for x
    x = 31,833,910,775.14/259,318.89
  6. Step 6: Final answer
    x = 122,759.71

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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.