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Finding the Fourth Proportional to 231,963.10, 320,103.86 and 135,160.91

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Solution

The fourth proportional to 231,963.10, 320,103.86 and 135,160.91 is: 186,519.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,963.10 : 320,103.86 = 135,160.91 : x
  2. Step 2: Convert to fraction form
    231,963.10/320,103.86 = 135,160.91/x
  3. Step 3: Cross multiply
    231,963.10x = 320,103.86 × 135,160.91
  4. Step 4: Simplify right side
    231,963.10x = 43,265,529,012.11
  5. Step 5: Solve for x
    x = 43,265,529,012.11/231,963.10
  6. Step 6: Final answer
    x = 186,519.02

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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.