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Finding the Fourth Proportional to 80,418.96, 120,636.72 and 27,828.36

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Solution

The fourth proportional to 80,418.96, 120,636.72 and 27,828.36 is: 41,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,418.96 : 120,636.72 = 27,828.36 : x
  2. Step 2: Convert to fraction form
    80,418.96/120,636.72 = 27,828.36/x
  3. Step 3: Cross multiply
    80,418.96x = 120,636.72 × 27,828.36
  4. Step 4: Simplify right side
    80,418.96x = 3,357,122,073.38
  5. Step 5: Solve for x
    x = 3,357,122,073.38/80,418.96
  6. Step 6: Final answer
    x = 41,745.41

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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.