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Finding the Fourth Proportional to 111.54, 153.05 and 107.22

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Solution

The fourth proportional to 111.54, 153.05 and 107.22 is: 147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.54 : 153.05 = 107.22 : x
  2. Step 2: Convert to fraction form
    111.54/153.05 = 107.22/x
  3. Step 3: Cross multiply
    111.54x = 153.05 × 107.22
  4. Step 4: Simplify right side
    111.54x = 16,409.48
  5. Step 5: Solve for x
    x = 16,409.48/111.54
  6. Step 6: Final answer
    x = 147.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.