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Finding the Fourth Proportional to 109.14, 163.53 and 76.20

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Solution

The fourth proportional to 109.14, 163.53 and 76.20 is: 114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.14 : 163.53 = 76.20 : x
  2. Step 2: Convert to fraction form
    109.14/163.53 = 76.20/x
  3. Step 3: Cross multiply
    109.14x = 163.53 × 76.20
  4. Step 4: Simplify right side
    109.14x = 12,460.99
  5. Step 5: Solve for x
    x = 12,460.99/109.14
  6. Step 6: Final answer
    x = 114.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.