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Finding the Fourth Proportional to 106, 147.28 and 104.94

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Solution

The fourth proportional to 106, 147.28 and 104.94 is: 145.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106 : 147.28 = 104.94 : x
  2. Step 2: Convert to fraction form
    106/147.28 = 104.94/x
  3. Step 3: Cross multiply
    106x = 147.28 × 104.94
  4. Step 4: Simplify right side
    106x = 15,455.56
  5. Step 5: Solve for x
    x = 15,455.56/106
  6. Step 6: Final answer
    x = 145.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.