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Finding the Fourth Proportional to 94.43, 142.14 and 72.88

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Solution

The fourth proportional to 94.43, 142.14 and 72.88 is: 109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.43 : 142.14 = 72.88 : x
  2. Step 2: Convert to fraction form
    94.43/142.14 = 72.88/x
  3. Step 3: Cross multiply
    94.43x = 142.14 × 72.88
  4. Step 4: Simplify right side
    94.43x = 10,358.09
  5. Step 5: Solve for x
    x = 10,358.09/94.43
  6. Step 6: Final answer
    x = 109.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.