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Finding the Fourth Proportional to 109.74, 163.65 and 93.59

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Solution

The fourth proportional to 109.74, 163.65 and 93.59 is: 139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.74 : 163.65 = 93.59 : x
  2. Step 2: Convert to fraction form
    109.74/163.65 = 93.59/x
  3. Step 3: Cross multiply
    109.74x = 163.65 × 93.59
  4. Step 4: Simplify right side
    109.74x = 15,315.19
  5. Step 5: Solve for x
    x = 15,315.19/109.74
  6. Step 6: Final answer
    x = 139.56

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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.