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Finding the Fourth Proportional to 259,912.52, 389,554.62 and 126,593

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Solution

The fourth proportional to 259,912.52, 389,554.62 and 126,593 is: 189,736.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,912.52 : 389,554.62 = 126,593 : x
  2. Step 2: Convert to fraction form
    259,912.52/389,554.62 = 126,593/x
  3. Step 3: Cross multiply
    259,912.52x = 389,554.62 × 126,593
  4. Step 4: Simplify right side
    259,912.52x = 49,314,888,009.66
  5. Step 5: Solve for x
    x = 49,314,888,009.66/259,912.52
  6. Step 6: Final answer
    x = 189,736.49

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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.