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Finding the Fourth Proportional to 108.63, 162.89 and 77.76

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Solution

The fourth proportional to 108.63, 162.89 and 77.76 is: 116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.63 : 162.89 = 77.76 : x
  2. Step 2: Convert to fraction form
    108.63/162.89 = 77.76/x
  3. Step 3: Cross multiply
    108.63x = 162.89 × 77.76
  4. Step 4: Simplify right side
    108.63x = 12,666.33
  5. Step 5: Solve for x
    x = 12,666.33/108.63
  6. Step 6: Final answer
    x = 116.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.