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Finding the Fourth Proportional to 262,783.11, 394,109.04 and 85,340.91

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Solution

The fourth proportional to 262,783.11, 394,109.04 and 85,340.91 is: 127,990.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,783.11 : 394,109.04 = 85,340.91 : x
  2. Step 2: Convert to fraction form
    262,783.11/394,109.04 = 85,340.91/x
  3. Step 3: Cross multiply
    262,783.11x = 394,109.04 × 85,340.91
  4. Step 4: Simplify right side
    262,783.11x = 33,633,624,112.83
  5. Step 5: Solve for x
    x = 33,633,624,112.83/262,783.11
  6. Step 6: Final answer
    x = 127,990.05

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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.