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Finding the Fourth Proportional to 108.69, 149.83 and 77.59

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Solution

The fourth proportional to 108.69, 149.83 and 77.59 is: 106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.69 : 149.83 = 77.59 : x
  2. Step 2: Convert to fraction form
    108.69/149.83 = 77.59/x
  3. Step 3: Cross multiply
    108.69x = 149.83 × 77.59
  4. Step 4: Simplify right side
    108.69x = 11,625.31
  5. Step 5: Solve for x
    x = 11,625.31/108.69
  6. Step 6: Final answer
    x = 106.96

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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.