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Finding the Fourth Proportional to 80,137.56, 120,197.16 and 20,978.96

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Solution

The fourth proportional to 80,137.56, 120,197.16 and 20,978.96 is: 31,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,137.56 : 120,197.16 = 20,978.96 : x
  2. Step 2: Convert to fraction form
    80,137.56/120,197.16 = 20,978.96/x
  3. Step 3: Cross multiply
    80,137.56x = 120,197.16 × 20,978.96
  4. Step 4: Simplify right side
    80,137.56x = 2,521,611,411.75
  5. Step 5: Solve for x
    x = 2,521,611,411.75/80,137.56
  6. Step 6: Final answer
    x = 31,466.04

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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.