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Finding the Fourth Proportional to 112.46, 154.83 and 84.78

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Solution

The fourth proportional to 112.46, 154.83 and 84.78 is: 116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.46 : 154.83 = 84.78 : x
  2. Step 2: Convert to fraction form
    112.46/154.83 = 84.78/x
  3. Step 3: Cross multiply
    112.46x = 154.83 × 84.78
  4. Step 4: Simplify right side
    112.46x = 13,126.06
  5. Step 5: Solve for x
    x = 13,126.06/112.46
  6. Step 6: Final answer
    x = 116.72

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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.