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Finding the Fourth Proportional to 106, 146.31 and 93.76

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Solution

The fourth proportional to 106, 146.31 and 93.76 is: 129.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106 : 146.31 = 93.76 : x
  2. Step 2: Convert to fraction form
    106/146.31 = 93.76/x
  3. Step 3: Cross multiply
    106x = 146.31 × 93.76
  4. Step 4: Simplify right side
    106x = 13,718.03
  5. Step 5: Solve for x
    x = 13,718.03/106
  6. Step 6: Final answer
    x = 129.42

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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.