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Finding the Fourth Proportional to 262,842.36, 394,180.82 and 85,308.36

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Solution

The fourth proportional to 262,842.36, 394,180.82 and 85,308.36 is: 127,935.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,842.36 : 394,180.82 = 85,308.36 : x
  2. Step 2: Convert to fraction form
    262,842.36/394,180.82 = 85,308.36/x
  3. Step 3: Cross multiply
    262,842.36x = 394,180.82 × 85,308.36
  4. Step 4: Simplify right side
    262,842.36x = 33,626,919,297.66
  5. Step 5: Solve for x
    x = 33,626,919,297.66/262,842.36
  6. Step 6: Final answer
    x = 127,935.69

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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.