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Finding the Fourth Proportional to 106.62, 146.50 and 84.75

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Solution

The fourth proportional to 106.62, 146.50 and 84.75 is: 116.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.62 : 146.50 = 84.75 : x
  2. Step 2: Convert to fraction form
    106.62/146.50 = 84.75/x
  3. Step 3: Cross multiply
    106.62x = 146.50 × 84.75
  4. Step 4: Simplify right side
    106.62x = 12,415.29
  5. Step 5: Solve for x
    x = 12,415.29/106.62
  6. Step 6: Final answer
    x = 116.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.