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Finding the Fourth Proportional to 80,327.79, 120,497.94 and 21,162.78

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Solution

The fourth proportional to 80,327.79, 120,497.94 and 21,162.78 is: 31,745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,327.79 : 120,497.94 = 21,162.78 : x
  2. Step 2: Convert to fraction form
    80,327.79/120,497.94 = 21,162.78/x
  3. Step 3: Cross multiply
    80,327.79x = 120,497.94 × 21,162.78
  4. Step 4: Simplify right side
    80,327.79x = 2,550,071,394.67
  5. Step 5: Solve for x
    x = 2,550,071,394.67/80,327.79
  6. Step 6: Final answer
    x = 31,745.82

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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.