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Finding the Fourth Proportional to 231,906.88, 347,977.04 and 172,861.12

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Solution

The fourth proportional to 231,906.88, 347,977.04 and 172,861.12 is: 259,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,906.88 : 347,977.04 = 172,861.12 : x
  2. Step 2: Convert to fraction form
    231,906.88/347,977.04 = 172,861.12/x
  3. Step 3: Cross multiply
    231,906.88x = 347,977.04 × 172,861.12
  4. Step 4: Simplify right side
    231,906.88x = 60,151,700,868.68
  5. Step 5: Solve for x
    x = 60,151,700,868.68/231,906.88
  6. Step 6: Final answer
    x = 259,378.68

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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.