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Finding the Fourth Proportional to 149,140.56, 205,814.01 and 82,072.56

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Solution

The fourth proportional to 149,140.56, 205,814.01 and 82,072.56 is: 113,260.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,140.56 : 205,814.01 = 82,072.56 : x
  2. Step 2: Convert to fraction form
    149,140.56/205,814.01 = 82,072.56/x
  3. Step 3: Cross multiply
    149,140.56x = 205,814.01 × 82,072.56
  4. Step 4: Simplify right side
    149,140.56x = 16,891,682,684.57
  5. Step 5: Solve for x
    x = 16,891,682,684.57/149,140.56
  6. Step 6: Final answer
    x = 113,260.15

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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.