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Finding the Fourth Proportional to 149,207.26, 205,905.81 and 82,139.26

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Solution

The fourth proportional to 149,207.26, 205,905.81 and 82,139.26 is: 113,352.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,207.26 : 205,905.81 = 82,139.26 : x
  2. Step 2: Convert to fraction form
    149,207.26/205,905.81 = 82,139.26/x
  3. Step 3: Cross multiply
    149,207.26x = 205,905.81 × 82,139.26
  4. Step 4: Simplify right side
    149,207.26x = 16,912,950,863.10
  5. Step 5: Solve for x
    x = 16,912,950,863.10/149,207.26
  6. Step 6: Final answer
    x = 113,352.06

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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.