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Finding the Fourth Proportional to 80,803.17, 120,909.48 and 47,538.90

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Solution

The fourth proportional to 80,803.17, 120,909.48 and 47,538.90 is: 71,134.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,803.17 : 120,909.48 = 47,538.90 : x
  2. Step 2: Convert to fraction form
    80,803.17/120,909.48 = 47,538.90/x
  3. Step 3: Cross multiply
    80,803.17x = 120,909.48 × 47,538.90
  4. Step 4: Simplify right side
    80,803.17x = 5,747,903,500.50
  5. Step 5: Solve for x
    x = 5,747,903,500.50/80,803.17
  6. Step 6: Final answer
    x = 71,134.63

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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.