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Finding the Fourth Proportional to 108.09, 161.84 and 86.32

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Solution

The fourth proportional to 108.09, 161.84 and 86.32 is: 129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.09 : 161.84 = 86.32 : x
  2. Step 2: Convert to fraction form
    108.09/161.84 = 86.32/x
  3. Step 3: Cross multiply
    108.09x = 161.84 × 86.32
  4. Step 4: Simplify right side
    108.09x = 13,970.03
  5. Step 5: Solve for x
    x = 13,970.03/108.09
  6. Step 6: Final answer
    x = 129.24

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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.