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Finding the Fourth Proportional to 111.72, 153.93 and 80.58

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Solution

The fourth proportional to 111.72, 153.93 and 80.58 is: 111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.72 : 153.93 = 80.58 : x
  2. Step 2: Convert to fraction form
    111.72/153.93 = 80.58/x
  3. Step 3: Cross multiply
    111.72x = 153.93 × 80.58
  4. Step 4: Simplify right side
    111.72x = 12,403.68
  5. Step 5: Solve for x
    x = 12,403.68/111.72
  6. Step 6: Final answer
    x = 111.02

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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.