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Finding the Fourth Proportional to 45,093, 67,679.42 and 21,429.64

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Solution

The fourth proportional to 45,093, 67,679.42 and 21,429.64 is: 32,163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,093 : 67,679.42 = 21,429.64 : x
  2. Step 2: Convert to fraction form
    45,093/67,679.42 = 21,429.64/x
  3. Step 3: Cross multiply
    45,093x = 67,679.42 × 21,429.64
  4. Step 4: Simplify right side
    45,093x = 1,450,345,606.01
  5. Step 5: Solve for x
    x = 1,450,345,606.01/45,093
  6. Step 6: Final answer
    x = 32,163.43

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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.