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Finding the Fourth Proportional to 149,408.16, 206,183.24 and 82,340.16

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Solution

The fourth proportional to 149,408.16, 206,183.24 and 82,340.16 is: 113,629.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,408.16 : 206,183.24 = 82,340.16 : x
  2. Step 2: Convert to fraction form
    149,408.16/206,183.24 = 82,340.16/x
  3. Step 3: Cross multiply
    149,408.16x = 206,183.24 × 82,340.16
  4. Step 4: Simplify right side
    149,408.16x = 16,977,160,970.92
  5. Step 5: Solve for x
    x = 16,977,160,970.92/149,408.16
  6. Step 6: Final answer
    x = 113,629.41

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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.