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Finding the Fourth Proportional to 75,309.75, 103,928.67 and 41,775.75

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Solution

The fourth proportional to 75,309.75, 103,928.67 and 41,775.75 is: 57,651.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,309.75 : 103,928.67 = 41,775.75 : x
  2. Step 2: Convert to fraction form
    75,309.75/103,928.67 = 41,775.75/x
  3. Step 3: Cross multiply
    75,309.75x = 103,928.67 × 41,775.75
  4. Step 4: Simplify right side
    75,309.75x = 4,341,698,135.75
  5. Step 5: Solve for x
    x = 4,341,698,135.75/75,309.75
  6. Step 6: Final answer
    x = 57,651.21

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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.