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Finding the Fourth Proportional to 123.89, 185.66 and 69.67

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Solution

The fourth proportional to 123.89, 185.66 and 69.67 is: 104.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.89 : 185.66 = 69.67 : x
  2. Step 2: Convert to fraction form
    123.89/185.66 = 69.67/x
  3. Step 3: Cross multiply
    123.89x = 185.66 × 69.67
  4. Step 4: Simplify right side
    123.89x = 12,935.80
  5. Step 5: Solve for x
    x = 12,935.80/123.89
  6. Step 6: Final answer
    x = 104.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.