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Finding the Fourth Proportional to 106.92, 146.88 and 87.48

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Solution

The fourth proportional to 106.92, 146.88 and 87.48 is: 120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.92 : 146.88 = 87.48 : x
  2. Step 2: Convert to fraction form
    106.92/146.88 = 87.48/x
  3. Step 3: Cross multiply
    106.92x = 146.88 × 87.48
  4. Step 4: Simplify right side
    106.92x = 12,849.06
  5. Step 5: Solve for x
    x = 12,849.06/106.92
  6. Step 6: Final answer
    x = 120.17

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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.