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Finding the Fourth Proportional to 81.01, 111.84 and 53.43

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Solution

The fourth proportional to 81.01, 111.84 and 53.43 is: 73.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.01 : 111.84 = 53.43 : x
  2. Step 2: Convert to fraction form
    81.01/111.84 = 53.43/x
  3. Step 3: Cross multiply
    81.01x = 111.84 × 53.43
  4. Step 4: Simplify right side
    81.01x = 5,975.05
  5. Step 5: Solve for x
    x = 5,975.05/81.01
  6. Step 6: Final answer
    x = 73.76

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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.