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Finding the Fourth Proportional to 149,550, 206,383.32 and 82,486.32

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Solution

The fourth proportional to 149,550, 206,383.32 and 82,486.32 is: 113,833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,550 : 206,383.32 = 82,486.32 : x
  2. Step 2: Convert to fraction form
    149,550/206,383.32 = 82,486.32/x
  3. Step 3: Cross multiply
    149,550x = 206,383.32 × 82,486.32
  4. Step 4: Simplify right side
    149,550x = 17,023,800,576.18
  5. Step 5: Solve for x
    x = 17,023,800,576.18/149,550
  6. Step 6: Final answer
    x = 113,833.50

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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.