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Finding the Fourth Proportional to 262,721.72, 394,137.96 and 85,214.92

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Solution

The fourth proportional to 262,721.72, 394,137.96 and 85,214.92 is: 127,840.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,721.72 : 394,137.96 = 85,214.92 : x
  2. Step 2: Convert to fraction form
    262,721.72/394,137.96 = 85,214.92/x
  3. Step 3: Cross multiply
    262,721.72x = 394,137.96 × 85,214.92
  4. Step 4: Simplify right side
    262,721.72x = 33,586,434,730.36
  5. Step 5: Solve for x
    x = 33,586,434,730.36/262,721.72
  6. Step 6: Final answer
    x = 127,840.34

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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.