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Finding the Fourth Proportional to 149,993.64, 206,983.62 and 82,912.68

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Solution

The fourth proportional to 149,993.64, 206,983.62 and 82,912.68 is: 114,415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,993.64 : 206,983.62 = 82,912.68 : x
  2. Step 2: Convert to fraction form
    149,993.64/206,983.62 = 82,912.68/x
  3. Step 3: Cross multiply
    149,993.64x = 206,983.62 × 82,912.68
  4. Step 4: Simplify right side
    149,993.64x = 17,161,566,650.30
  5. Step 5: Solve for x
    x = 17,161,566,650.30/149,993.64
  6. Step 6: Final answer
    x = 114,415.30

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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.