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Finding the Fourth Proportional to 80,274.72, 120,412.37 and 26,965.18

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Solution

The fourth proportional to 80,274.72, 120,412.37 and 26,965.18 is: 40,447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,274.72 : 120,412.37 = 26,965.18 : x
  2. Step 2: Convert to fraction form
    80,274.72/120,412.37 = 26,965.18/x
  3. Step 3: Cross multiply
    80,274.72x = 120,412.37 × 26,965.18
  4. Step 4: Simplify right side
    80,274.72x = 3,246,941,449.21
  5. Step 5: Solve for x
    x = 3,246,941,449.21/80,274.72
  6. Step 6: Final answer
    x = 40,447.87

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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.