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Finding the Fourth Proportional to 262,692.37, 394,093.94 and 85,185.57

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Solution

The fourth proportional to 262,692.37, 394,093.94 and 85,185.57 is: 127,796.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,692.37 : 394,093.94 = 85,185.57 : x
  2. Step 2: Convert to fraction form
    262,692.37/394,093.94 = 85,185.57/x
  3. Step 3: Cross multiply
    262,692.37x = 394,093.94 × 85,185.57
  4. Step 4: Simplify right side
    262,692.37x = 33,571,118,443.54
  5. Step 5: Solve for x
    x = 33,571,118,443.54/262,692.37
  6. Step 6: Final answer
    x = 127,796.32

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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.