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Finding the Fourth Proportional to 69,189, 103,783.50 and 19,941

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Solution

The fourth proportional to 69,189, 103,783.50 and 19,941 is: 29,911.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,189 : 103,783.50 = 19,941 : x
  2. Step 2: Convert to fraction form
    69,189/103,783.50 = 19,941/x
  3. Step 3: Cross multiply
    69,189x = 103,783.50 × 19,941
  4. Step 4: Simplify right side
    69,189x = 2,069,546,773.50
  5. Step 5: Solve for x
    x = 2,069,546,773.50/69,189
  6. Step 6: Final answer
    x = 29,911.50

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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.