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Finding the Fourth Proportional to 81.52, 112.42 and 53.89

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Solution

The fourth proportional to 81.52, 112.42 and 53.89 is: 74.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.52 : 112.42 = 53.89 : x
  2. Step 2: Convert to fraction form
    81.52/112.42 = 53.89/x
  3. Step 3: Cross multiply
    81.52x = 112.42 × 53.89
  4. Step 4: Simplify right side
    81.52x = 6,058.31
  5. Step 5: Solve for x
    x = 6,058.31/81.52
  6. Step 6: Final answer
    x = 74.32

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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.