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Finding the Fourth Proportional to 89,405.62, 133,983.70 and 67,192.98

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Solution

The fourth proportional to 89,405.62, 133,983.70 and 67,192.98 is: 100,695.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,405.62 : 133,983.70 = 67,192.98 : x
  2. Step 2: Convert to fraction form
    89,405.62/133,983.70 = 67,192.98/x
  3. Step 3: Cross multiply
    89,405.62x = 133,983.70 × 67,192.98
  4. Step 4: Simplify right side
    89,405.62x = 9,002,764,074.43
  5. Step 5: Solve for x
    x = 9,002,764,074.43/89,405.62
  6. Step 6: Final answer
    x = 100,695.73

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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.