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Finding the Fourth Proportional to 101.51, 140.03 and 68.30

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Solution

The fourth proportional to 101.51, 140.03 and 68.30 is: 94.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.51 : 140.03 = 68.30 : x
  2. Step 2: Convert to fraction form
    101.51/140.03 = 68.30/x
  3. Step 3: Cross multiply
    101.51x = 140.03 × 68.30
  4. Step 4: Simplify right side
    101.51x = 9,563.71
  5. Step 5: Solve for x
    x = 9,563.71/101.51
  6. Step 6: Final answer
    x = 94.21

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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.