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Finding the Fourth Proportional to 80,563.14, 120,846.74 and 21,398.72

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Solution

The fourth proportional to 80,563.14, 120,846.74 and 21,398.72 is: 32,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,563.14 : 120,846.74 = 21,398.72 : x
  2. Step 2: Convert to fraction form
    80,563.14/120,846.74 = 21,398.72/x
  3. Step 3: Cross multiply
    80,563.14x = 120,846.74 × 21,398.72
  4. Step 4: Simplify right side
    80,563.14x = 2,585,964,840.95
  5. Step 5: Solve for x
    x = 2,585,964,840.95/80,563.14
  6. Step 6: Final answer
    x = 32,098.61

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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.