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Finding the Fourth Proportional to 80,468.64, 120,691.62 and 21,309.48

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Solution

The fourth proportional to 80,468.64, 120,691.62 and 21,309.48 is: 31,961.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,468.64 : 120,691.62 = 21,309.48 : x
  2. Step 2: Convert to fraction form
    80,468.64/120,691.62 = 21,309.48/x
  3. Step 3: Cross multiply
    80,468.64x = 120,691.62 × 21,309.48
  4. Step 4: Simplify right side
    80,468.64x = 2,571,875,662.56
  5. Step 5: Solve for x
    x = 2,571,875,662.56/80,468.64
  6. Step 6: Final answer
    x = 31,961.22

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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.