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Finding the Fourth Proportional to 106.49, 147.02 and 81.98

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Solution

The fourth proportional to 106.49, 147.02 and 81.98 is: 113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.49 : 147.02 = 81.98 : x
  2. Step 2: Convert to fraction form
    106.49/147.02 = 81.98/x
  3. Step 3: Cross multiply
    106.49x = 147.02 × 81.98
  4. Step 4: Simplify right side
    106.49x = 12,052.70
  5. Step 5: Solve for x
    x = 12,052.70/106.49
  6. Step 6: Final answer
    x = 113.18

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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.