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Finding the Fourth Proportional to 111.84, 154.28 and 80.76

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Solution

The fourth proportional to 111.84, 154.28 and 80.76 is: 111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.84 : 154.28 = 80.76 : x
  2. Step 2: Convert to fraction form
    111.84/154.28 = 80.76/x
  3. Step 3: Cross multiply
    111.84x = 154.28 × 80.76
  4. Step 4: Simplify right side
    111.84x = 12,459.65
  5. Step 5: Solve for x
    x = 12,459.65/111.84
  6. Step 6: Final answer
    x = 111.41

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Find fourth proportional to 55.92, 77.14 and 40.38
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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.