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Finding the Fourth Proportional to 76.23, 105.63 and 72.18

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Solution

The fourth proportional to 76.23, 105.63 and 72.18 is: 100.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.23 : 105.63 = 72.18 : x
  2. Step 2: Convert to fraction form
    76.23/105.63 = 72.18/x
  3. Step 3: Cross multiply
    76.23x = 105.63 × 72.18
  4. Step 4: Simplify right side
    76.23x = 7,624.37
  5. Step 5: Solve for x
    x = 7,624.37/76.23
  6. Step 6: Final answer
    x = 100.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.