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Finding the Fourth Proportional to 231,879.80, 347,733.30 and 161,550.20

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Solution

The fourth proportional to 231,879.80, 347,733.30 and 161,550.20 is: 242,265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,879.80 : 347,733.30 = 161,550.20 : x
  2. Step 2: Convert to fraction form
    231,879.80/347,733.30 = 161,550.20/x
  3. Step 3: Cross multiply
    231,879.80x = 347,733.30 × 161,550.20
  4. Step 4: Simplify right side
    231,879.80x = 56,176,384,161.66
  5. Step 5: Solve for x
    x = 56,176,384,161.66/231,879.80
  6. Step 6: Final answer
    x = 242,265.11

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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.