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Finding the Fourth Proportional to 99.68, 137.76 and 77.92

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Solution

The fourth proportional to 99.68, 137.76 and 77.92 is: 107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.68 : 137.76 = 77.92 : x
  2. Step 2: Convert to fraction form
    99.68/137.76 = 77.92/x
  3. Step 3: Cross multiply
    99.68x = 137.76 × 77.92
  4. Step 4: Simplify right side
    99.68x = 10,734.26
  5. Step 5: Solve for x
    x = 10,734.26/99.68
  6. Step 6: Final answer
    x = 107.69

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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.