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Finding the Fourth Proportional to 80,435, 120,635.78 and 30,497.88

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Solution

The fourth proportional to 80,435, 120,635.78 and 30,497.88 is: 45,740.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,435 : 120,635.78 = 30,497.88 : x
  2. Step 2: Convert to fraction form
    80,435/120,635.78 = 30,497.88/x
  3. Step 3: Cross multiply
    80,435x = 120,635.78 × 30,497.88
  4. Step 4: Simplify right side
    80,435x = 3,679,135,542.15
  5. Step 5: Solve for x
    x = 3,679,135,542.15/80,435
  6. Step 6: Final answer
    x = 45,740.48

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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.