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Finding the Fourth Proportional to 131,461.20, 197,191.80 and 81,694.80

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Solution

The fourth proportional to 131,461.20, 197,191.80 and 81,694.80 is: 122,542.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,461.20 : 197,191.80 = 81,694.80 : x
  2. Step 2: Convert to fraction form
    131,461.20/197,191.80 = 81,694.80/x
  3. Step 3: Cross multiply
    131,461.20x = 197,191.80 × 81,694.80
  4. Step 4: Simplify right side
    131,461.20x = 16,109,544,662.64
  5. Step 5: Solve for x
    x = 16,109,544,662.64/131,461.20
  6. Step 6: Final answer
    x = 122,542.20

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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.