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Finding the Fourth Proportional to 108.61, 149.77 and 77.51

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Solution

The fourth proportional to 108.61, 149.77 and 77.51 is: 106.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.61 : 149.77 = 77.51 : x
  2. Step 2: Convert to fraction form
    108.61/149.77 = 77.51/x
  3. Step 3: Cross multiply
    108.61x = 149.77 × 77.51
  4. Step 4: Simplify right side
    108.61x = 11,607.87
  5. Step 5: Solve for x
    x = 11,607.87/108.61
  6. Step 6: Final answer
    x = 106.88

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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.