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Finding the Fourth Proportional to 80,493.52, 120,649.92 and 37,819.84

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Solution

The fourth proportional to 80,493.52, 120,649.92 and 37,819.84 is: 56,687.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,493.52 : 120,649.92 = 37,819.84 : x
  2. Step 2: Convert to fraction form
    80,493.52/120,649.92 = 37,819.84/x
  3. Step 3: Cross multiply
    80,493.52x = 120,649.92 × 37,819.84
  4. Step 4: Simplify right side
    80,493.52x = 4,562,960,670.41
  5. Step 5: Solve for x
    x = 4,562,960,670.41/80,493.52
  6. Step 6: Final answer
    x = 56,687.30

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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.