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Finding the Fourth Proportional to 111.63, 154.11 and 72.30

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Solution

The fourth proportional to 111.63, 154.11 and 72.30 is: 99.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.63 : 154.11 = 72.30 : x
  2. Step 2: Convert to fraction form
    111.63/154.11 = 72.30/x
  3. Step 3: Cross multiply
    111.63x = 154.11 × 72.30
  4. Step 4: Simplify right side
    111.63x = 11,142.15
  5. Step 5: Solve for x
    x = 11,142.15/111.63
  6. Step 6: Final answer
    x = 99.82

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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.