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Finding the Fourth Proportional to 94.57, 142.36 and 94.16

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Solution

The fourth proportional to 94.57, 142.36 and 94.16 is: 141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.57 : 142.36 = 94.16 : x
  2. Step 2: Convert to fraction form
    94.57/142.36 = 94.16/x
  3. Step 3: Cross multiply
    94.57x = 142.36 × 94.16
  4. Step 4: Simplify right side
    94.57x = 13,404.74
  5. Step 5: Solve for x
    x = 13,404.74/94.57
  6. Step 6: Final answer
    x = 141.75

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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.