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Finding the Fourth Proportional to 68.51, 102.69 and 39.60

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Solution

The fourth proportional to 68.51, 102.69 and 39.60 is: 59.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.51 : 102.69 = 39.60 : x
  2. Step 2: Convert to fraction form
    68.51/102.69 = 39.60/x
  3. Step 3: Cross multiply
    68.51x = 102.69 × 39.60
  4. Step 4: Simplify right side
    68.51x = 4,066.52
  5. Step 5: Solve for x
    x = 4,066.52/68.51
  6. Step 6: Final answer
    x = 59.36

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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.