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Finding the Fourth Proportional to 131.70, 196.13 and 123.84

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Solution

The fourth proportional to 131.70, 196.13 and 123.84 is: 184.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.70 : 196.13 = 123.84 : x
  2. Step 2: Convert to fraction form
    131.70/196.13 = 123.84/x
  3. Step 3: Cross multiply
    131.70x = 196.13 × 123.84
  4. Step 4: Simplify right side
    131.70x = 24,288.74
  5. Step 5: Solve for x
    x = 24,288.74/131.70
  6. Step 6: Final answer
    x = 184.42

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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.