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Finding the Fourth Proportional to 130.94, 196.80 and 83.14

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Solution

The fourth proportional to 130.94, 196.80 and 83.14 is: 124.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.94 : 196.80 = 83.14 : x
  2. Step 2: Convert to fraction form
    130.94/196.80 = 83.14/x
  3. Step 3: Cross multiply
    130.94x = 196.80 × 83.14
  4. Step 4: Simplify right side
    130.94x = 16,361.95
  5. Step 5: Solve for x
    x = 16,361.95/130.94
  6. Step 6: Final answer
    x = 124.96

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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.