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Finding the Fourth Proportional to 71,736, 107,642.88 and 34,800

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Solution

The fourth proportional to 71,736, 107,642.88 and 34,800 is: 52,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,736 : 107,642.88 = 34,800 : x
  2. Step 2: Convert to fraction form
    71,736/107,642.88 = 34,800/x
  3. Step 3: Cross multiply
    71,736x = 107,642.88 × 34,800
  4. Step 4: Simplify right side
    71,736x = 3,745,972,224
  5. Step 5: Solve for x
    x = 3,745,972,224/71,736
  6. Step 6: Final answer
    x = 52,218.86

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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.