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Finding the Fourth Proportional to 108, 149.13 and 83.57

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Solution

The fourth proportional to 108, 149.13 and 83.57 is: 115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    108 : 149.13 = 83.57 : x
  2. Step 2: Convert to fraction form
    108/149.13 = 83.57/x
  3. Step 3: Cross multiply
    108x = 149.13 × 83.57
  4. Step 4: Simplify right side
    108x = 12,462.05
  5. Step 5: Solve for x
    x = 12,462.05/108
  6. Step 6: Final answer
    x = 115.39

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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.