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Finding the Fourth Proportional to 214,622.82, 321,991.47 and 74,381.31

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Solution

The fourth proportional to 214,622.82, 321,991.47 and 74,381.31 is: 111,591.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,622.82 : 321,991.47 = 74,381.31 : x
  2. Step 2: Convert to fraction form
    214,622.82/321,991.47 = 74,381.31/x
  3. Step 3: Cross multiply
    214,622.82x = 321,991.47 × 74,381.31
  4. Step 4: Simplify right side
    214,622.82x = 23,950,147,347.43
  5. Step 5: Solve for x
    x = 23,950,147,347.43/214,622.82
  6. Step 6: Final answer
    x = 111,591.80

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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.