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Finding the Fourth Proportional to 262,719.84, 394,033.68 and 85,200.96

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Solution

The fourth proportional to 262,719.84, 394,033.68 and 85,200.96 is: 127,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,719.84 : 394,033.68 = 85,200.96 : x
  2. Step 2: Convert to fraction form
    262,719.84/394,033.68 = 85,200.96/x
  3. Step 3: Cross multiply
    262,719.84x = 394,033.68 × 85,200.96
  4. Step 4: Simplify right side
    262,719.84x = 33,572,047,808.33
  5. Step 5: Solve for x
    x = 33,572,047,808.33/262,719.84
  6. Step 6: Final answer
    x = 127,786.50

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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.