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Finding the Fourth Proportional to 76.09, 104.90 and 49.81

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Solution

The fourth proportional to 76.09, 104.90 and 49.81 is: 68.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.09 : 104.90 = 49.81 : x
  2. Step 2: Convert to fraction form
    76.09/104.90 = 49.81/x
  3. Step 3: Cross multiply
    76.09x = 104.90 × 49.81
  4. Step 4: Simplify right side
    76.09x = 5,225.19
  5. Step 5: Solve for x
    x = 5,225.19/76.09
  6. Step 6: Final answer
    x = 68.67

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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.