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Finding the Fourth Proportional to 231,810.80, 347,629.80 and 161,481.20

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Solution

The fourth proportional to 231,810.80, 347,629.80 and 161,481.20 is: 242,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,810.80 : 347,629.80 = 161,481.20 : x
  2. Step 2: Convert to fraction form
    231,810.80/347,629.80 = 161,481.20/x
  3. Step 3: Cross multiply
    231,810.80x = 347,629.80 × 161,481.20
  4. Step 4: Simplify right side
    231,810.80x = 56,135,677,259.76
  5. Step 5: Solve for x
    x = 56,135,677,259.76/231,810.80
  6. Step 6: Final answer
    x = 242,161.61

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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.