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Finding the Fourth Proportional to 131.04, 195.80 and 96.56

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Solution

The fourth proportional to 131.04, 195.80 and 96.56 is: 144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.04 : 195.80 = 96.56 : x
  2. Step 2: Convert to fraction form
    131.04/195.80 = 96.56/x
  3. Step 3: Cross multiply
    131.04x = 195.80 × 96.56
  4. Step 4: Simplify right side
    131.04x = 18,906.45
  5. Step 5: Solve for x
    x = 18,906.45/131.04
  6. Step 6: Final answer
    x = 144.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.