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Finding the Fourth Proportional to 259,993, 389,940.18 and 126,739.24

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Solution

The fourth proportional to 259,993, 389,940.18 and 126,739.24 is: 190,084.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,993 : 389,940.18 = 126,739.24 : x
  2. Step 2: Convert to fraction form
    259,993/389,940.18 = 126,739.24/x
  3. Step 3: Cross multiply
    259,993x = 389,940.18 × 126,739.24
  4. Step 4: Simplify right side
    259,993x = 49,420,722,058.66
  5. Step 5: Solve for x
    x = 49,420,722,058.66/259,993
  6. Step 6: Final answer
    x = 190,084.82

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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.