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Finding the Fourth Proportional to 108.70, 149.70 and 103.78

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Solution

The fourth proportional to 108.70, 149.70 and 103.78 is: 142.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.70 : 149.70 = 103.78 : x
  2. Step 2: Convert to fraction form
    108.70/149.70 = 103.78/x
  3. Step 3: Cross multiply
    108.70x = 149.70 × 103.78
  4. Step 4: Simplify right side
    108.70x = 15,535.87
  5. Step 5: Solve for x
    x = 15,535.87/108.70
  6. Step 6: Final answer
    x = 142.92

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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.