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Finding the Fourth Proportional to 109.96, 151.83 and 68.57

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Solution

The fourth proportional to 109.96, 151.83 and 68.57 is: 94.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.96 : 151.83 = 68.57 : x
  2. Step 2: Convert to fraction form
    109.96/151.83 = 68.57/x
  3. Step 3: Cross multiply
    109.96x = 151.83 × 68.57
  4. Step 4: Simplify right side
    109.96x = 10,410.98
  5. Step 5: Solve for x
    x = 10,410.98/109.96
  6. Step 6: Final answer
    x = 94.68

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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.