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Finding the Fourth Proportional to 94.93, 142.18 and 54.29

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Solution

The fourth proportional to 94.93, 142.18 and 54.29 is: 81.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.93 : 142.18 = 54.29 : x
  2. Step 2: Convert to fraction form
    94.93/142.18 = 54.29/x
  3. Step 3: Cross multiply
    94.93x = 142.18 × 54.29
  4. Step 4: Simplify right side
    94.93x = 7,718.95
  5. Step 5: Solve for x
    x = 7,718.95/94.93
  6. Step 6: Final answer
    x = 81.31

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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.