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Finding the Fourth Proportional to 68.24, 101.90 and 60.14

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Solution

The fourth proportional to 68.24, 101.90 and 60.14 is: 89.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.24 : 101.90 = 60.14 : x
  2. Step 2: Convert to fraction form
    68.24/101.90 = 60.14/x
  3. Step 3: Cross multiply
    68.24x = 101.90 × 60.14
  4. Step 4: Simplify right side
    68.24x = 6,128.27
  5. Step 5: Solve for x
    x = 6,128.27/68.24
  6. Step 6: Final answer
    x = 89.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.