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Finding the Fourth Proportional to 231,097.97, 318,917.31 and 135,606.26

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Solution

The fourth proportional to 231,097.97, 318,917.31 and 135,606.26 is: 187,137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,097.97 : 318,917.31 = 135,606.26 : x
  2. Step 2: Convert to fraction form
    231,097.97/318,917.31 = 135,606.26/x
  3. Step 3: Cross multiply
    231,097.97x = 318,917.31 × 135,606.26
  4. Step 4: Simplify right side
    231,097.97x = 43,247,183,658.36
  5. Step 5: Solve for x
    x = 43,247,183,658.36/231,097.97
  6. Step 6: Final answer
    x = 187,137.88

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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.