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Finding the Fourth Proportional to 80,309.46, 110,879.04 and 51,642

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Solution

The fourth proportional to 80,309.46, 110,879.04 and 51,642 is: 71,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,309.46 : 110,879.04 = 51,642 : x
  2. Step 2: Convert to fraction form
    80,309.46/110,879.04 = 51,642/x
  3. Step 3: Cross multiply
    80,309.46x = 110,879.04 × 51,642
  4. Step 4: Simplify right side
    80,309.46x = 5,726,015,383.68
  5. Step 5: Solve for x
    x = 5,726,015,383.68/80,309.46
  6. Step 6: Final answer
    x = 71,299.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.