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Finding the Fourth Proportional to 149,399.62, 206,169.60 and 81,419.56

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Solution

The fourth proportional to 149,399.62, 206,169.60 and 81,419.56 is: 112,357.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,399.62 : 206,169.60 = 81,419.56 : x
  2. Step 2: Convert to fraction form
    149,399.62/206,169.60 = 81,419.56/x
  3. Step 3: Cross multiply
    149,399.62x = 206,169.60 × 81,419.56
  4. Step 4: Simplify right side
    149,399.62x = 16,786,238,117.38
  5. Step 5: Solve for x
    x = 16,786,238,117.38/149,399.62
  6. Step 6: Final answer
    x = 112,357.97

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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.