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Finding the Fourth Proportional to 93.62, 129.32 and 81.56

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Solution

The fourth proportional to 93.62, 129.32 and 81.56 is: 112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.62 : 129.32 = 81.56 : x
  2. Step 2: Convert to fraction form
    93.62/129.32 = 81.56/x
  3. Step 3: Cross multiply
    93.62x = 129.32 × 81.56
  4. Step 4: Simplify right side
    93.62x = 10,546.28
  5. Step 5: Solve for x
    x = 10,546.28/93.62
  6. Step 6: Final answer
    x = 112.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.