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Finding the Fourth Proportional to 81.63, 112.65 and 50.53

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Solution

The fourth proportional to 81.63, 112.65 and 50.53 is: 69.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.63 : 112.65 = 50.53 : x
  2. Step 2: Convert to fraction form
    81.63/112.65 = 50.53/x
  3. Step 3: Cross multiply
    81.63x = 112.65 × 50.53
  4. Step 4: Simplify right side
    81.63x = 5,692.20
  5. Step 5: Solve for x
    x = 5,692.20/81.63
  6. Step 6: Final answer
    x = 69.73

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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.