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Finding the Fourth Proportional to 71,791.92, 107,688.12 and 34,830

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Solution

The fourth proportional to 71,791.92, 107,688.12 and 34,830 is: 52,245.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,791.92 : 107,688.12 = 34,830 : x
  2. Step 2: Convert to fraction form
    71,791.92/107,688.12 = 34,830/x
  3. Step 3: Cross multiply
    71,791.92x = 107,688.12 × 34,830
  4. Step 4: Simplify right side
    71,791.92x = 3,750,777,219.60
  5. Step 5: Solve for x
    x = 3,750,777,219.60/71,791.92
  6. Step 6: Final answer
    x = 52,245.12

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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.