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Finding the Fourth Proportional to 131,057.40, 196,731.90 and 81,193.80

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Solution

The fourth proportional to 131,057.40, 196,731.90 and 81,193.80 is: 121,881.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,057.40 : 196,731.90 = 81,193.80 : x
  2. Step 2: Convert to fraction form
    131,057.40/196,731.90 = 81,193.80/x
  3. Step 3: Cross multiply
    131,057.40x = 196,731.90 × 81,193.80
  4. Step 4: Simplify right side
    131,057.40x = 15,973,410,542.22
  5. Step 5: Solve for x
    x = 15,973,410,542.22/131,057.40
  6. Step 6: Final answer
    x = 121,881.03

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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.