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Finding the Fourth Proportional to 93.96, 130.14 and 86.94

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Solution

The fourth proportional to 93.96, 130.14 and 86.94 is: 120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.96 : 130.14 = 86.94 : x
  2. Step 2: Convert to fraction form
    93.96/130.14 = 86.94/x
  3. Step 3: Cross multiply
    93.96x = 130.14 × 86.94
  4. Step 4: Simplify right side
    93.96x = 11,314.37
  5. Step 5: Solve for x
    x = 11,314.37/93.96
  6. Step 6: Final answer
    x = 120.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.