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Finding the Fourth Proportional to 108, 161.86 and 72.16

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Solution

The fourth proportional to 108, 161.86 and 72.16 is: 108.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    108 : 161.86 = 72.16 : x
  2. Step 2: Convert to fraction form
    108/161.86 = 72.16/x
  3. Step 3: Cross multiply
    108x = 161.86 × 72.16
  4. Step 4: Simplify right side
    108x = 11,679.82
  5. Step 5: Solve for x
    x = 11,679.82/108
  6. Step 6: Final answer
    x = 108.15

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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.