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Finding the Fourth Proportional to 68.12, 93.71 and 54.22

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Solution

The fourth proportional to 68.12, 93.71 and 54.22 is: 74.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.12 : 93.71 = 54.22 : x
  2. Step 2: Convert to fraction form
    68.12/93.71 = 54.22/x
  3. Step 3: Cross multiply
    68.12x = 93.71 × 54.22
  4. Step 4: Simplify right side
    68.12x = 5,080.73
  5. Step 5: Solve for x
    x = 5,080.73/68.12
  6. Step 6: Final answer
    x = 74.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.