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Finding the Fourth Proportional to 262,736.36, 394,159.89 and 85,229.51

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Solution

The fourth proportional to 262,736.36, 394,159.89 and 85,229.51 is: 127,862.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,736.36 : 394,159.89 = 85,229.51 : x
  2. Step 2: Convert to fraction form
    262,736.36/394,159.89 = 85,229.51/x
  3. Step 3: Cross multiply
    262,736.36x = 394,159.89 × 85,229.51
  4. Step 4: Simplify right side
    262,736.36x = 33,594,054,286.35
  5. Step 5: Solve for x
    x = 33,594,054,286.35/262,736.36
  6. Step 6: Final answer
    x = 127,862.22

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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.