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Finding the Fourth Proportional to 282,091.94, 389,286.87 and 161,235.82

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Solution

The fourth proportional to 282,091.94, 389,286.87 and 161,235.82 is: 222,505.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,091.94 : 389,286.87 = 161,235.82 : x
  2. Step 2: Convert to fraction form
    282,091.94/389,286.87 = 161,235.82/x
  3. Step 3: Cross multiply
    282,091.94x = 389,286.87 × 161,235.82
  4. Step 4: Simplify right side
    282,091.94x = 62,766,987,393.74
  5. Step 5: Solve for x
    x = 62,766,987,393.74/282,091.94
  6. Step 6: Final answer
    x = 222,505.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.