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Finding the Fourth Proportional to 149,318.57, 206,059.64 and 82,250.57

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Solution

The fourth proportional to 149,318.57, 206,059.64 and 82,250.57 is: 113,505.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,318.57 : 206,059.64 = 82,250.57 : x
  2. Step 2: Convert to fraction form
    149,318.57/206,059.64 = 82,250.57/x
  3. Step 3: Cross multiply
    149,318.57x = 206,059.64 × 82,250.57
  4. Step 4: Simplify right side
    149,318.57x = 16,948,522,432.74
  5. Step 5: Solve for x
    x = 16,948,522,432.74/149,318.57
  6. Step 6: Final answer
    x = 113,505.79

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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.