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Finding the Fourth Proportional to 111.12, 153.40 and 105.20

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Solution

The fourth proportional to 111.12, 153.40 and 105.20 is: 145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.12 : 153.40 = 105.20 : x
  2. Step 2: Convert to fraction form
    111.12/153.40 = 105.20/x
  3. Step 3: Cross multiply
    111.12x = 153.40 × 105.20
  4. Step 4: Simplify right side
    111.12x = 16,137.68
  5. Step 5: Solve for x
    x = 16,137.68/111.12
  6. Step 6: Final answer
    x = 145.23

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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.