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Finding the Fourth Proportional to 231,811.68, 347,771.76 and 71,879.20

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Solution

The fourth proportional to 231,811.68, 347,771.76 and 71,879.20 is: 107,835.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,811.68 : 347,771.76 = 71,879.20 : x
  2. Step 2: Convert to fraction form
    231,811.68/347,771.76 = 71,879.20/x
  3. Step 3: Cross multiply
    231,811.68x = 347,771.76 × 71,879.20
  4. Step 4: Simplify right side
    231,811.68x = 24,997,555,891.39
  5. Step 5: Solve for x
    x = 24,997,555,891.39/231,811.68
  6. Step 6: Final answer
    x = 107,835.62

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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.