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Finding the Fourth Proportional to 258,908.82, 388,379.97 and 81,422.70

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Solution

The fourth proportional to 258,908.82, 388,379.97 and 81,422.70 is: 122,139.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,908.82 : 388,379.97 = 81,422.70 : x
  2. Step 2: Convert to fraction form
    258,908.82/388,379.97 = 81,422.70/x
  3. Step 3: Cross multiply
    258,908.82x = 388,379.97 × 81,422.70
  4. Step 4: Simplify right side
    258,908.82x = 31,622,945,783.32
  5. Step 5: Solve for x
    x = 31,622,945,783.32/258,908.82
  6. Step 6: Final answer
    x = 122,139.31

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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.