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Finding the Fourth Proportional to 142.43, 196.53 and 84.23

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Solution

The fourth proportional to 142.43, 196.53 and 84.23 is: 116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.43 : 196.53 = 84.23 : x
  2. Step 2: Convert to fraction form
    142.43/196.53 = 84.23/x
  3. Step 3: Cross multiply
    142.43x = 196.53 × 84.23
  4. Step 4: Simplify right side
    142.43x = 16,552.74
  5. Step 5: Solve for x
    x = 16,552.74/142.43
  6. Step 6: Final answer
    x = 116.22

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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.