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Finding the Fourth Proportional to 259,072.89, 388,623.21 and 81,593.73

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Solution

The fourth proportional to 259,072.89, 388,623.21 and 81,593.73 is: 122,394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,072.89 : 388,623.21 = 81,593.73 : x
  2. Step 2: Convert to fraction form
    259,072.89/388,623.21 = 81,593.73/x
  3. Step 3: Cross multiply
    259,072.89x = 388,623.21 × 81,593.73
  4. Step 4: Simplify right side
    259,072.89x = 31,709,217,268.47
  5. Step 5: Solve for x
    x = 31,709,217,268.47/259,072.89
  6. Step 6: Final answer
    x = 122,394.96

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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.