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Finding the Fourth Proportional to 258,896.82, 388,361.97 and 81,410.70

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Solution

The fourth proportional to 258,896.82, 388,361.97 and 81,410.70 is: 122,121.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,896.82 : 388,361.97 = 81,410.70 : x
  2. Step 2: Convert to fraction form
    258,896.82/388,361.97 = 81,410.70/x
  3. Step 3: Cross multiply
    258,896.82x = 388,361.97 × 81,410.70
  4. Step 4: Simplify right side
    258,896.82x = 31,616,819,831.08
  5. Step 5: Solve for x
    x = 31,616,819,831.08/258,896.82
  6. Step 6: Final answer
    x = 122,121.31

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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.