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Finding the Fourth Proportional to 149,525.44, 206,343.84 and 82,456

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Solution

The fourth proportional to 149,525.44, 206,343.84 and 82,456 is: 113,788.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,525.44 : 206,343.84 = 82,456 : x
  2. Step 2: Convert to fraction form
    149,525.44/206,343.84 = 82,456/x
  3. Step 3: Cross multiply
    149,525.44x = 206,343.84 × 82,456
  4. Step 4: Simplify right side
    149,525.44x = 17,014,287,671.04
  5. Step 5: Solve for x
    x = 17,014,287,671.04/149,525.44
  6. Step 6: Final answer
    x = 113,788.58

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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.