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Finding the Fourth Proportional to 72,704.96, 109,045.14 and 20,102.14

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Solution

The fourth proportional to 72,704.96, 109,045.14 and 20,102.14 is: 30,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,704.96 : 109,045.14 = 20,102.14 : x
  2. Step 2: Convert to fraction form
    72,704.96/109,045.14 = 20,102.14/x
  3. Step 3: Cross multiply
    72,704.96x = 109,045.14 × 20,102.14
  4. Step 4: Simplify right side
    72,704.96x = 2,192,040,731.52
  5. Step 5: Solve for x
    x = 2,192,040,731.52/72,704.96
  6. Step 6: Final answer
    x = 30,149.81

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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.