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Finding the Fourth Proportional to 93.52, 128.76 and 81.23

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Solution

The fourth proportional to 93.52, 128.76 and 81.23 is: 111.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.52 : 128.76 = 81.23 : x
  2. Step 2: Convert to fraction form
    93.52/128.76 = 81.23/x
  3. Step 3: Cross multiply
    93.52x = 128.76 × 81.23
  4. Step 4: Simplify right side
    93.52x = 10,459.19
  5. Step 5: Solve for x
    x = 10,459.19/93.52
  6. Step 6: Final answer
    x = 111.84

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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.