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Finding the Fourth Proportional to 149,717, 206,609.64 and 82,649

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Solution

The fourth proportional to 149,717, 206,609.64 and 82,649 is: 114,055.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,717 : 206,609.64 = 82,649 : x
  2. Step 2: Convert to fraction form
    149,717/206,609.64 = 82,649/x
  3. Step 3: Cross multiply
    149,717x = 206,609.64 × 82,649
  4. Step 4: Simplify right side
    149,717x = 17,076,080,136.36
  5. Step 5: Solve for x
    x = 17,076,080,136.36/149,717
  6. Step 6: Final answer
    x = 114,055.72

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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.