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Finding the Fourth Proportional to 111.60, 153.96 and 72.72

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Solution

The fourth proportional to 111.60, 153.96 and 72.72 is: 100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.60 : 153.96 = 72.72 : x
  2. Step 2: Convert to fraction form
    111.60/153.96 = 72.72/x
  3. Step 3: Cross multiply
    111.60x = 153.96 × 72.72
  4. Step 4: Simplify right side
    111.60x = 11,195.97
  5. Step 5: Solve for x
    x = 11,195.97/111.60
  6. Step 6: Final answer
    x = 100.32

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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.