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Finding the Fourth Proportional to 262,719.26, 394,134.30 and 85,212.48

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Solution

The fourth proportional to 262,719.26, 394,134.30 and 85,212.48 is: 127,836.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,719.26 : 394,134.30 = 85,212.48 : x
  2. Step 2: Convert to fraction form
    262,719.26/394,134.30 = 85,212.48/x
  3. Step 3: Cross multiply
    262,719.26x = 394,134.30 × 85,212.48
  4. Step 4: Simplify right side
    262,719.26x = 33,585,161,156.06
  5. Step 5: Solve for x
    x = 33,585,161,156.06/262,719.26
  6. Step 6: Final answer
    x = 127,836.69

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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.