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Finding the Fourth Proportional to 149,718, 206,611.24 and 82,650

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Solution

The fourth proportional to 149,718, 206,611.24 and 82,650 is: 114,057.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,718 : 206,611.24 = 82,650 : x
  2. Step 2: Convert to fraction form
    149,718/206,611.24 = 82,650/x
  3. Step 3: Cross multiply
    149,718x = 206,611.24 × 82,650
  4. Step 4: Simplify right side
    149,718x = 17,076,418,986
  5. Step 5: Solve for x
    x = 17,076,418,986/149,718
  6. Step 6: Final answer
    x = 114,057.22

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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.