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Finding the Fourth Proportional to 149,650, 206,517.27 and 82,582

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Solution

The fourth proportional to 149,650, 206,517.27 and 82,582 is: 113,963.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,650 : 206,517.27 = 82,582 : x
  2. Step 2: Convert to fraction form
    149,650/206,517.27 = 82,582/x
  3. Step 3: Cross multiply
    149,650x = 206,517.27 × 82,582
  4. Step 4: Simplify right side
    149,650x = 17,054,609,191.14
  5. Step 5: Solve for x
    x = 17,054,609,191.14/149,650
  6. Step 6: Final answer
    x = 113,963.31

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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.