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Finding the Fourth Proportional to 262,719.70, 394,134.94 and 85,212.90

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Solution

The fourth proportional to 262,719.70, 394,134.94 and 85,212.90 is: 127,837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,719.70 : 394,134.94 = 85,212.90 : x
  2. Step 2: Convert to fraction form
    262,719.70/394,134.94 = 85,212.90/x
  3. Step 3: Cross multiply
    262,719.70x = 394,134.94 × 85,212.90
  4. Step 4: Simplify right side
    262,719.70x = 33,585,381,228.73
  5. Step 5: Solve for x
    x = 33,585,381,228.73/262,719.70
  6. Step 6: Final answer
    x = 127,837.32

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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.