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Finding the Fourth Proportional to 71,783.20, 107,631.60 and 36,791.20

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Solution

The fourth proportional to 71,783.20, 107,631.60 and 36,791.20 is: 55,164.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,783.20 : 107,631.60 = 36,791.20 : x
  2. Step 2: Convert to fraction form
    71,783.20/107,631.60 = 36,791.20/x
  3. Step 3: Cross multiply
    71,783.20x = 107,631.60 × 36,791.20
  4. Step 4: Simplify right side
    71,783.20x = 3,959,895,721.92
  5. Step 5: Solve for x
    x = 3,959,895,721.92/71,783.20
  6. Step 6: Final answer
    x = 55,164.66

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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.