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Finding the Fourth Proportional to 75.81, 104.66 and 49.59

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Solution

The fourth proportional to 75.81, 104.66 and 49.59 is: 68.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.81 : 104.66 = 49.59 : x
  2. Step 2: Convert to fraction form
    75.81/104.66 = 49.59/x
  3. Step 3: Cross multiply
    75.81x = 104.66 × 49.59
  4. Step 4: Simplify right side
    75.81x = 5,190.09
  5. Step 5: Solve for x
    x = 5,190.09/75.81
  6. Step 6: Final answer
    x = 68.46

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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.