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Finding the Fourth Proportional to 131,491.20, 197,121.60 and 78,844.80

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Solution

The fourth proportional to 131,491.20, 197,121.60 and 78,844.80 is: 118,198.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,491.20 : 197,121.60 = 78,844.80 : x
  2. Step 2: Convert to fraction form
    131,491.20/197,121.60 = 78,844.80/x
  3. Step 3: Cross multiply
    131,491.20x = 197,121.60 × 78,844.80
  4. Step 4: Simplify right side
    131,491.20x = 15,542,013,127.68
  5. Step 5: Solve for x
    x = 15,542,013,127.68/131,491.20
  6. Step 6: Final answer
    x = 118,198.12

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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.