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Finding the Fourth Proportional to 149,571, 206,422.56 and 82,503

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Solution

The fourth proportional to 149,571, 206,422.56 and 82,503 is: 113,862.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,571 : 206,422.56 = 82,503 : x
  2. Step 2: Convert to fraction form
    149,571/206,422.56 = 82,503/x
  3. Step 3: Cross multiply
    149,571x = 206,422.56 × 82,503
  4. Step 4: Simplify right side
    149,571x = 17,030,480,467.68
  5. Step 5: Solve for x
    x = 17,030,480,467.68/149,571
  6. Step 6: Final answer
    x = 113,862.18

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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.