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Finding the Fourth Proportional to 93.95, 140.75 and 68.23

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Solution

The fourth proportional to 93.95, 140.75 and 68.23 is: 102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.95 : 140.75 = 68.23 : x
  2. Step 2: Convert to fraction form
    93.95/140.75 = 68.23/x
  3. Step 3: Cross multiply
    93.95x = 140.75 × 68.23
  4. Step 4: Simplify right side
    93.95x = 9,603.37
  5. Step 5: Solve for x
    x = 9,603.37/93.95
  6. Step 6: Final answer
    x = 102.22

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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.