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Finding the Fourth Proportional to 73.78, 101.82 and 54.17

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Solution

The fourth proportional to 73.78, 101.82 and 54.17 is: 74.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.78 : 101.82 = 54.17 : x
  2. Step 2: Convert to fraction form
    73.78/101.82 = 54.17/x
  3. Step 3: Cross multiply
    73.78x = 101.82 × 54.17
  4. Step 4: Simplify right side
    73.78x = 5,516.05
  5. Step 5: Solve for x
    x = 5,516.05/73.78
  6. Step 6: Final answer
    x = 74.76

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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.