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Finding the Fourth Proportional to 80,471.61, 120,712.03 and 21,305.74

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Solution

The fourth proportional to 80,471.61, 120,712.03 and 21,305.74 is: 31,959.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,471.61 : 120,712.03 = 21,305.74 : x
  2. Step 2: Convert to fraction form
    80,471.61/120,712.03 = 21,305.74/x
  3. Step 3: Cross multiply
    80,471.61x = 120,712.03 × 21,305.74
  4. Step 4: Simplify right side
    80,471.61x = 2,571,859,126.05
  5. Step 5: Solve for x
    x = 2,571,859,126.05/80,471.61
  6. Step 6: Final answer
    x = 31,959.83

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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.