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Finding the Fourth Proportional to 73,163.62, 109,745.47 and 20,573.10

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Solution

The fourth proportional to 73,163.62, 109,745.47 and 20,573.10 is: 30,859.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,163.62 : 109,745.47 = 20,573.10 : x
  2. Step 2: Convert to fraction form
    73,163.62/109,745.47 = 20,573.10/x
  3. Step 3: Cross multiply
    73,163.62x = 109,745.47 × 20,573.10
  4. Step 4: Simplify right side
    73,163.62x = 2,257,804,477.42
  5. Step 5: Solve for x
    x = 2,257,804,477.42/73,163.62
  6. Step 6: Final answer
    x = 30,859.66

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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.