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Finding the Fourth Proportional to 149,763.44, 206,672.28 and 82,694

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Solution

The fourth proportional to 149,763.44, 206,672.28 and 82,694 is: 114,117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,763.44 : 206,672.28 = 82,694 : x
  2. Step 2: Convert to fraction form
    149,763.44/206,672.28 = 82,694/x
  3. Step 3: Cross multiply
    149,763.44x = 206,672.28 × 82,694
  4. Step 4: Simplify right side
    149,763.44x = 17,090,557,522.32
  5. Step 5: Solve for x
    x = 17,090,557,522.32/149,763.44
  6. Step 6: Final answer
    x = 114,117.02

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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.