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Finding the Fourth Proportional to 40,513.80, 60,770.70 and 27,829.20

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Solution

The fourth proportional to 40,513.80, 60,770.70 and 27,829.20 is: 41,743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,513.80 : 60,770.70 = 27,829.20 : x
  2. Step 2: Convert to fraction form
    40,513.80/60,770.70 = 27,829.20/x
  3. Step 3: Cross multiply
    40,513.80x = 60,770.70 × 27,829.20
  4. Step 4: Simplify right side
    40,513.80x = 1,691,199,964.44
  5. Step 5: Solve for x
    x = 1,691,199,964.44/40,513.80
  6. Step 6: Final answer
    x = 41,743.80

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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.