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Finding the Fourth Proportional to 149,809, 206,736.42 and 82,745.32

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Solution

The fourth proportional to 149,809, 206,736.42 and 82,745.32 is: 114,188.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,809 : 206,736.42 = 82,745.32 : x
  2. Step 2: Convert to fraction form
    149,809/206,736.42 = 82,745.32/x
  3. Step 3: Cross multiply
    149,809x = 206,736.42 × 82,745.32
  4. Step 4: Simplify right side
    149,809x = 17,106,471,228.55
  5. Step 5: Solve for x
    x = 17,106,471,228.55/149,809
  6. Step 6: Final answer
    x = 114,188.54

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1.5x scale

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.