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Finding the Fourth Proportional to 93.78, 128.59 and 84.54

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Solution

The fourth proportional to 93.78, 128.59 and 84.54 is: 115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.78 : 128.59 = 84.54 : x
  2. Step 2: Convert to fraction form
    93.78/128.59 = 84.54/x
  3. Step 3: Cross multiply
    93.78x = 128.59 × 84.54
  4. Step 4: Simplify right side
    93.78x = 10,870.57
  5. Step 5: Solve for x
    x = 10,870.57/93.78
  6. Step 6: Final answer
    x = 115.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.