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Finding the Fourth Proportional to 123.14, 169.86 and 79.50

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Solution

The fourth proportional to 123.14, 169.86 and 79.50 is: 109.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.14 : 169.86 = 79.50 : x
  2. Step 2: Convert to fraction form
    123.14/169.86 = 79.50/x
  3. Step 3: Cross multiply
    123.14x = 169.86 × 79.50
  4. Step 4: Simplify right side
    123.14x = 13,504.81
  5. Step 5: Solve for x
    x = 13,504.81/123.14
  6. Step 6: Final answer
    x = 109.67

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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.