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Finding the Fourth Proportional to 214,286.17, 321,474.21 and 81,163.48

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Solution

The fourth proportional to 214,286.17, 321,474.21 and 81,163.48 is: 121,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,286.17 : 321,474.21 = 81,163.48 : x
  2. Step 2: Convert to fraction form
    214,286.17/321,474.21 = 81,163.48/x
  3. Step 3: Cross multiply
    214,286.17x = 321,474.21 × 81,163.48
  4. Step 4: Simplify right side
    214,286.17x = 26,091,965,410.94
  5. Step 5: Solve for x
    x = 26,091,965,410.94/214,286.17
  6. Step 6: Final answer
    x = 121,762.25

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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.