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Finding the Fourth Proportional to 80,193.16, 120,289.80 and 50,655.88

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Solution

The fourth proportional to 80,193.16, 120,289.80 and 50,655.88 is: 75,983.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,193.16 : 120,289.80 = 50,655.88 : x
  2. Step 2: Convert to fraction form
    80,193.16/120,289.80 = 50,655.88/x
  3. Step 3: Cross multiply
    80,193.16x = 120,289.80 × 50,655.88
  4. Step 4: Simplify right side
    80,193.16x = 6,093,385,674.02
  5. Step 5: Solve for x
    x = 6,093,385,674.02/80,193.16
  6. Step 6: Final answer
    x = 75,983.86

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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.