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Finding the Fourth Proportional to 106.35, 146.78 and 77.32

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Solution

The fourth proportional to 106.35, 146.78 and 77.32 is: 106.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.35 : 146.78 = 77.32 : x
  2. Step 2: Convert to fraction form
    106.35/146.78 = 77.32/x
  3. Step 3: Cross multiply
    106.35x = 146.78 × 77.32
  4. Step 4: Simplify right side
    106.35x = 11,349.03
  5. Step 5: Solve for x
    x = 11,349.03/106.35
  6. Step 6: Final answer
    x = 106.71

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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.