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Finding the Fourth Proportional to 68.09, 101.93 and 47.75

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Solution

The fourth proportional to 68.09, 101.93 and 47.75 is: 71.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.09 : 101.93 = 47.75 : x
  2. Step 2: Convert to fraction form
    68.09/101.93 = 47.75/x
  3. Step 3: Cross multiply
    68.09x = 101.93 × 47.75
  4. Step 4: Simplify right side
    68.09x = 4,866.77
  5. Step 5: Solve for x
    x = 4,866.77/68.09
  6. Step 6: Final answer
    x = 71.47

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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.