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Finding the Fourth Proportional to 104.28, 143.84 and 77.67

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Solution

The fourth proportional to 104.28, 143.84 and 77.67 is: 107.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.28 : 143.84 = 77.67 : x
  2. Step 2: Convert to fraction form
    104.28/143.84 = 77.67/x
  3. Step 3: Cross multiply
    104.28x = 143.84 × 77.67
  4. Step 4: Simplify right side
    104.28x = 11,172.37
  5. Step 5: Solve for x
    x = 11,172.37/104.28
  6. Step 6: Final answer
    x = 107.14

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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.