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Finding the Fourth Proportional to 149,774.44, 206,687.46 and 82,705

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Solution

The fourth proportional to 149,774.44, 206,687.46 and 82,705 is: 114,132.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,774.44 : 206,687.46 = 82,705 : x
  2. Step 2: Convert to fraction form
    149,774.44/206,687.46 = 82,705/x
  3. Step 3: Cross multiply
    149,774.44x = 206,687.46 × 82,705
  4. Step 4: Simplify right side
    149,774.44x = 17,094,086,379.30
  5. Step 5: Solve for x
    x = 17,094,086,379.30/149,774.44
  6. Step 6: Final answer
    x = 114,132.20

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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.