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Finding the Fourth Proportional to 80,465.82, 120,691.64 and 36,080.66

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Solution

The fourth proportional to 80,465.82, 120,691.64 and 36,080.66 is: 54,117.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,465.82 : 120,691.64 = 36,080.66 : x
  2. Step 2: Convert to fraction form
    80,465.82/120,691.64 = 36,080.66/x
  3. Step 3: Cross multiply
    80,465.82x = 120,691.64 × 36,080.66
  4. Step 4: Simplify right side
    80,465.82x = 4,354,634,027.68
  5. Step 5: Solve for x
    x = 4,354,634,027.68/80,465.82
  6. Step 6: Final answer
    x = 54,117.81

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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.