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Finding the Fourth Proportional to 109.47, 163.23 and 94.35

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Solution

The fourth proportional to 109.47, 163.23 and 94.35 is: 140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.47 : 163.23 = 94.35 : x
  2. Step 2: Convert to fraction form
    109.47/163.23 = 94.35/x
  3. Step 3: Cross multiply
    109.47x = 163.23 × 94.35
  4. Step 4: Simplify right side
    109.47x = 15,399.93
  5. Step 5: Solve for x
    x = 15,399.93/109.47
  6. Step 6: Final answer
    x = 140.68

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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.