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Finding the Fourth Proportional to 99.93, 138.06 and 81.63

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Solution

The fourth proportional to 99.93, 138.06 and 81.63 is: 112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.93 : 138.06 = 81.63 : x
  2. Step 2: Convert to fraction form
    99.93/138.06 = 81.63/x
  3. Step 3: Cross multiply
    99.93x = 138.06 × 81.63
  4. Step 4: Simplify right side
    99.93x = 11,269.84
  5. Step 5: Solve for x
    x = 11,269.84/99.93
  6. Step 6: Final answer
    x = 112.78

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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.