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Finding the Fourth Proportional to 94.47, 142.26 and 84.95

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Solution

The fourth proportional to 94.47, 142.26 and 84.95 is: 127.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.47 : 142.26 = 84.95 : x
  2. Step 2: Convert to fraction form
    94.47/142.26 = 84.95/x
  3. Step 3: Cross multiply
    94.47x = 142.26 × 84.95
  4. Step 4: Simplify right side
    94.47x = 12,084.49
  5. Step 5: Solve for x
    x = 12,084.49/94.47
  6. Step 6: Final answer
    x = 127.92

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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.