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Finding the Fourth Proportional to 80,536.56, 120,749.72 and 41,017.20

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Solution

The fourth proportional to 80,536.56, 120,749.72 and 41,017.20 is: 61,497.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,536.56 : 120,749.72 = 41,017.20 : x
  2. Step 2: Convert to fraction form
    80,536.56/120,749.72 = 41,017.20/x
  3. Step 3: Cross multiply
    80,536.56x = 120,749.72 × 41,017.20
  4. Step 4: Simplify right side
    80,536.56x = 4,952,815,415.18
  5. Step 5: Solve for x
    x = 4,952,815,415.18/80,536.56
  6. Step 6: Final answer
    x = 61,497.73

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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.