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Finding the Fourth Proportional to 231,902.92, 320,020.36 and 129,932.64

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Solution

The fourth proportional to 231,902.92, 320,020.36 and 129,932.64 is: 179,303.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,902.92 : 320,020.36 = 129,932.64 : x
  2. Step 2: Convert to fraction form
    231,902.92/320,020.36 = 129,932.64/x
  3. Step 3: Cross multiply
    231,902.92x = 320,020.36 × 129,932.64
  4. Step 4: Simplify right side
    231,902.92x = 41,581,090,228.55
  5. Step 5: Solve for x
    x = 41,581,090,228.55/231,902.92
  6. Step 6: Final answer
    x = 179,303.87

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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.