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Finding the Fourth Proportional to 80,130.40, 120,198.44 and 27,539.53

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Solution

The fourth proportional to 80,130.40, 120,198.44 and 27,539.53 is: 41,310.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,130.40 : 120,198.44 = 27,539.53 : x
  2. Step 2: Convert to fraction form
    80,130.40/120,198.44 = 27,539.53/x
  3. Step 3: Cross multiply
    80,130.40x = 120,198.44 × 27,539.53
  4. Step 4: Simplify right side
    80,130.40x = 3,310,208,544.33
  5. Step 5: Solve for x
    x = 3,310,208,544.33/80,130.40
  6. Step 6: Final answer
    x = 41,310.27

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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.