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Finding the Fourth Proportional to 108.78, 149.88 and 102.06

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Solution

The fourth proportional to 108.78, 149.88 and 102.06 is: 140.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.78 : 149.88 = 102.06 : x
  2. Step 2: Convert to fraction form
    108.78/149.88 = 102.06/x
  3. Step 3: Cross multiply
    108.78x = 149.88 × 102.06
  4. Step 4: Simplify right side
    108.78x = 15,296.75
  5. Step 5: Solve for x
    x = 15,296.75/108.78
  6. Step 6: Final answer
    x = 140.62

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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.