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Finding the Fourth Proportional to 149,142.44, 205,816.60 and 82,074.44

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Solution

The fourth proportional to 149,142.44, 205,816.60 and 82,074.44 is: 113,262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,142.44 : 205,816.60 = 82,074.44 : x
  2. Step 2: Convert to fraction form
    149,142.44/205,816.60 = 82,074.44/x
  3. Step 3: Cross multiply
    149,142.44x = 205,816.60 × 82,074.44
  4. Step 4: Simplify right side
    149,142.44x = 16,892,282,187.70
  5. Step 5: Solve for x
    x = 16,892,282,187.70/149,142.44
  6. Step 6: Final answer
    x = 113,262.75

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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.