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Finding the Fourth Proportional to 231,478.88, 347,231.84 and 89,324.96

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Solution

The fourth proportional to 231,478.88, 347,231.84 and 89,324.96 is: 133,992.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,478.88 : 347,231.84 = 89,324.96 : x
  2. Step 2: Convert to fraction form
    231,478.88/347,231.84 = 89,324.96/x
  3. Step 3: Cross multiply
    231,478.88x = 347,231.84 × 89,324.96
  4. Step 4: Simplify right side
    231,478.88x = 31,016,470,218.73
  5. Step 5: Solve for x
    x = 31,016,470,218.73/231,478.88
  6. Step 6: Final answer
    x = 133,992.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.