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Finding the Fourth Proportional to 94.72, 142.25 and 87.49

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Solution

The fourth proportional to 94.72, 142.25 and 87.49 is: 131.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.72 : 142.25 = 87.49 : x
  2. Step 2: Convert to fraction form
    94.72/142.25 = 87.49/x
  3. Step 3: Cross multiply
    94.72x = 142.25 × 87.49
  4. Step 4: Simplify right side
    94.72x = 12,444.30
  5. Step 5: Solve for x
    x = 12,444.30/94.72
  6. Step 6: Final answer
    x = 131.39

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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.