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Finding the Fourth Proportional to 71,770.60, 107,609.82 and 30,206.44

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Solution

The fourth proportional to 71,770.60, 107,609.82 and 30,206.44 is: 45,290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,770.60 : 107,609.82 = 30,206.44 : x
  2. Step 2: Convert to fraction form
    71,770.60/107,609.82 = 30,206.44/x
  3. Step 3: Cross multiply
    71,770.60x = 107,609.82 × 30,206.44
  4. Step 4: Simplify right side
    71,770.60x = 3,250,509,571.24
  5. Step 5: Solve for x
    x = 3,250,509,571.24/71,770.60
  6. Step 6: Final answer
    x = 45,290.27

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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.