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Finding the Fourth Proportional to 149,568.50, 206,419.11 and 82,500.50

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Solution

The fourth proportional to 149,568.50, 206,419.11 and 82,500.50 is: 113,858.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,568.50 : 206,419.11 = 82,500.50 : x
  2. Step 2: Convert to fraction form
    149,568.50/206,419.11 = 82,500.50/x
  3. Step 3: Cross multiply
    149,568.50x = 206,419.11 × 82,500.50
  4. Step 4: Simplify right side
    149,568.50x = 17,029,679,784.56
  5. Step 5: Solve for x
    x = 17,029,679,784.56/149,568.50
  6. Step 6: Final answer
    x = 113,858.73

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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.