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Finding the Fourth Proportional to 142.19, 196.19 and 83.18

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Solution

The fourth proportional to 142.19, 196.19 and 83.18 is: 114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.19 : 196.19 = 83.18 : x
  2. Step 2: Convert to fraction form
    142.19/196.19 = 83.18/x
  3. Step 3: Cross multiply
    142.19x = 196.19 × 83.18
  4. Step 4: Simplify right side
    142.19x = 16,318.31
  5. Step 5: Solve for x
    x = 16,318.31/142.19
  6. Step 6: Final answer
    x = 114.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.