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Finding the Fourth Proportional to 111.22, 153.63 and 92.86

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Solution

The fourth proportional to 111.22, 153.63 and 92.86 is: 128.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.22 : 153.63 = 92.86 : x
  2. Step 2: Convert to fraction form
    111.22/153.63 = 92.86/x
  3. Step 3: Cross multiply
    111.22x = 153.63 × 92.86
  4. Step 4: Simplify right side
    111.22x = 14,266.08
  5. Step 5: Solve for x
    x = 14,266.08/111.22
  6. Step 6: Final answer
    x = 128.27

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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.