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Finding the Fourth Proportional to 79,342, 119,013.44 and 20,177.72

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Solution

The fourth proportional to 79,342, 119,013.44 and 20,177.72 is: 30,266.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,342 : 119,013.44 = 20,177.72 : x
  2. Step 2: Convert to fraction form
    79,342/119,013.44 = 20,177.72/x
  3. Step 3: Cross multiply
    79,342x = 119,013.44 × 20,177.72
  4. Step 4: Simplify right side
    79,342x = 2,401,419,868.56
  5. Step 5: Solve for x
    x = 2,401,419,868.56/79,342
  6. Step 6: Final answer
    x = 30,266.69

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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.