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Finding the Fourth Proportional to 111.68, 154.16 and 76.76

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Solution

The fourth proportional to 111.68, 154.16 and 76.76 is: 105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.68 : 154.16 = 76.76 : x
  2. Step 2: Convert to fraction form
    111.68/154.16 = 76.76/x
  3. Step 3: Cross multiply
    111.68x = 154.16 × 76.76
  4. Step 4: Simplify right side
    111.68x = 11,833.32
  5. Step 5: Solve for x
    x = 11,833.32/111.68
  6. Step 6: Final answer
    x = 105.96

Related Problems

Find fourth proportional to 55.84, 77.08 and 38.38
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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.