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Finding the Fourth Proportional to 262,694.94, 394,097.82 and 85,188.18

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Solution

The fourth proportional to 262,694.94, 394,097.82 and 85,188.18 is: 127,800.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,694.94 : 394,097.82 = 85,188.18 : x
  2. Step 2: Convert to fraction form
    262,694.94/394,097.82 = 85,188.18/x
  3. Step 3: Cross multiply
    262,694.94x = 394,097.82 × 85,188.18
  4. Step 4: Simplify right side
    262,694.94x = 33,572,476,027.77
  5. Step 5: Solve for x
    x = 33,572,476,027.77/262,694.94
  6. Step 6: Final answer
    x = 127,800.24

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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.