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Finding the Fourth Proportional to 93.90, 140.72 and 68.09

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Solution

The fourth proportional to 93.90, 140.72 and 68.09 is: 102.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.90 : 140.72 = 68.09 : x
  2. Step 2: Convert to fraction form
    93.90/140.72 = 68.09/x
  3. Step 3: Cross multiply
    93.90x = 140.72 × 68.09
  4. Step 4: Simplify right side
    93.90x = 9,580.58
  5. Step 5: Solve for x
    x = 9,580.58/93.90
  6. Step 6: Final answer
    x = 102.03

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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.