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Finding the Fourth Proportional to 108, 149.12 and 71.17

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Solution

The fourth proportional to 108, 149.12 and 71.17 is: 98.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    108 : 149.12 = 71.17 : x
  2. Step 2: Convert to fraction form
    108/149.12 = 71.17/x
  3. Step 3: Cross multiply
    108x = 149.12 × 71.17
  4. Step 4: Simplify right side
    108x = 10,612.87
  5. Step 5: Solve for x
    x = 10,612.87/108
  6. Step 6: Final answer
    x = 98.27

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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.