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Finding the Fourth Proportional to 99.77, 137.64 and 68.73

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Solution

The fourth proportional to 99.77, 137.64 and 68.73 is: 94.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.77 : 137.64 = 68.73 : x
  2. Step 2: Convert to fraction form
    99.77/137.64 = 68.73/x
  3. Step 3: Cross multiply
    99.77x = 137.64 × 68.73
  4. Step 4: Simplify right side
    99.77x = 9,459.22
  5. Step 5: Solve for x
    x = 9,459.22/99.77
  6. Step 6: Final answer
    x = 94.81

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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.