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Finding the Fourth Proportional to 81.37, 112.19 and 64.83

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Solution

The fourth proportional to 81.37, 112.19 and 64.83 is: 89.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.37 : 112.19 = 64.83 : x
  2. Step 2: Convert to fraction form
    81.37/112.19 = 64.83/x
  3. Step 3: Cross multiply
    81.37x = 112.19 × 64.83
  4. Step 4: Simplify right side
    81.37x = 7,272.43
  5. Step 5: Solve for x
    x = 7,272.43/81.37
  6. Step 6: Final answer
    x = 89.37

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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.