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Finding the Fourth Proportional to 108.72, 162.24 and 96.60

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Solution

The fourth proportional to 108.72, 162.24 and 96.60 is: 144.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.72 : 162.24 = 96.60 : x
  2. Step 2: Convert to fraction form
    108.72/162.24 = 96.60/x
  3. Step 3: Cross multiply
    108.72x = 162.24 × 96.60
  4. Step 4: Simplify right side
    108.72x = 15,672.38
  5. Step 5: Solve for x
    x = 15,672.38/108.72
  6. Step 6: Final answer
    x = 144.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.