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Finding the Fourth Proportional to 81.72, 112.64 and 60.98

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Solution

The fourth proportional to 81.72, 112.64 and 60.98 is: 84.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.72 : 112.64 = 60.98 : x
  2. Step 2: Convert to fraction form
    81.72/112.64 = 60.98/x
  3. Step 3: Cross multiply
    81.72x = 112.64 × 60.98
  4. Step 4: Simplify right side
    81.72x = 6,868.79
  5. Step 5: Solve for x
    x = 6,868.79/81.72
  6. Step 6: Final answer
    x = 84.05

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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.