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Finding the Fourth Proportional to 231,963.96, 320,105.04 and 135,161.82

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Solution

The fourth proportional to 231,963.96, 320,105.04 and 135,161.82 is: 186,520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,963.96 : 320,105.04 = 135,161.82 : x
  2. Step 2: Convert to fraction form
    231,963.96/320,105.04 = 135,161.82/x
  3. Step 3: Cross multiply
    231,963.96x = 320,105.04 × 135,161.82
  4. Step 4: Simplify right side
    231,963.96x = 43,265,979,797.57
  5. Step 5: Solve for x
    x = 43,265,979,797.57/231,963.96
  6. Step 6: Final answer
    x = 186,520.27

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1.5x scale

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.