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Finding the Fourth Proportional to 111.70, 154.07 and 72.37

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Solution

The fourth proportional to 111.70, 154.07 and 72.37 is: 99.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.70 : 154.07 = 72.37 : x
  2. Step 2: Convert to fraction form
    111.70/154.07 = 72.37/x
  3. Step 3: Cross multiply
    111.70x = 154.07 × 72.37
  4. Step 4: Simplify right side
    111.70x = 11,149.28
  5. Step 5: Solve for x
    x = 11,149.28/111.70
  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.