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Finding the Fourth Proportional to 109.14, 162.73 and 92.12

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Solution

The fourth proportional to 109.14, 162.73 and 92.12 is: 137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.14 : 162.73 = 92.12 : x
  2. Step 2: Convert to fraction form
    109.14/162.73 = 92.12/x
  3. Step 3: Cross multiply
    109.14x = 162.73 × 92.12
  4. Step 4: Simplify right side
    109.14x = 14,990.69
  5. Step 5: Solve for x
    x = 14,990.69/109.14
  6. Step 6: Final answer
    x = 137.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.