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Finding the Fourth Proportional to 149,832, 206,768.16 and 82,764

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Solution

The fourth proportional to 149,832, 206,768.16 and 82,764 is: 114,214.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,832 : 206,768.16 = 82,764 : x
  2. Step 2: Convert to fraction form
    149,832/206,768.16 = 82,764/x
  3. Step 3: Cross multiply
    149,832x = 206,768.16 × 82,764
  4. Step 4: Simplify right side
    149,832x = 17,112,959,994.24
  5. Step 5: Solve for x
    x = 17,112,959,994.24/149,832
  6. Step 6: Final answer
    x = 114,214.32

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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.