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Finding the Fourth Proportional to 108.10, 162.78 and 77.87

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Solution

The fourth proportional to 108.10, 162.78 and 77.87 is: 117.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.10 : 162.78 = 77.87 : x
  2. Step 2: Convert to fraction form
    108.10/162.78 = 77.87/x
  3. Step 3: Cross multiply
    108.10x = 162.78 × 77.87
  4. Step 4: Simplify right side
    108.10x = 12,676.09
  5. Step 5: Solve for x
    x = 12,676.09/108.10
  6. Step 6: Final answer
    x = 117.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.