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Finding the Fourth Proportional to 69,414.75, 104,140.50 and 39,843

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Solution

The fourth proportional to 69,414.75, 104,140.50 and 39,843 is: 59,775.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,414.75 : 104,140.50 = 39,843 : x
  2. Step 2: Convert to fraction form
    69,414.75/104,140.50 = 39,843/x
  3. Step 3: Cross multiply
    69,414.75x = 104,140.50 × 39,843
  4. Step 4: Simplify right side
    69,414.75x = 4,149,269,941.50
  5. Step 5: Solve for x
    x = 4,149,269,941.50/69,414.75
  6. Step 6: Final answer
    x = 59,775.05

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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.