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Finding the Fourth Proportional to 111.86, 154.41 and 72.57

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Solution

The fourth proportional to 111.86, 154.41 and 72.57 is: 100.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.86 : 154.41 = 72.57 : x
  2. Step 2: Convert to fraction form
    111.86/154.41 = 72.57/x
  3. Step 3: Cross multiply
    111.86x = 154.41 × 72.57
  4. Step 4: Simplify right side
    111.86x = 11,205.53
  5. Step 5: Solve for x
    x = 11,205.53/111.86
  6. Step 6: Final answer
    x = 100.17

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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.