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Finding the Fourth Proportional to 105.36, 146.16 and 101.88

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Solution

The fourth proportional to 105.36, 146.16 and 101.88 is: 141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.36 : 146.16 = 101.88 : x
  2. Step 2: Convert to fraction form
    105.36/146.16 = 101.88/x
  3. Step 3: Cross multiply
    105.36x = 146.16 × 101.88
  4. Step 4: Simplify right side
    105.36x = 14,890.78
  5. Step 5: Solve for x
    x = 14,890.78/105.36
  6. Step 6: Final answer
    x = 141.33

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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.