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Finding the Fourth Proportional to 75.41, 103.82 and 65.19

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Solution

The fourth proportional to 75.41, 103.82 and 65.19 is: 89.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.41 : 103.82 = 65.19 : x
  2. Step 2: Convert to fraction form
    75.41/103.82 = 65.19/x
  3. Step 3: Cross multiply
    75.41x = 103.82 × 65.19
  4. Step 4: Simplify right side
    75.41x = 6,767.70
  5. Step 5: Solve for x
    x = 6,767.70/75.41
  6. Step 6: Final answer
    x = 89.75

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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.