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Finding the Fourth Proportional to 69,437, 104,173.26 and 20,189

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Solution

The fourth proportional to 69,437, 104,173.26 and 20,189 is: 30,288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,437 : 104,173.26 = 20,189 : x
  2. Step 2: Convert to fraction form
    69,437/104,173.26 = 20,189/x
  3. Step 3: Cross multiply
    69,437x = 104,173.26 × 20,189
  4. Step 4: Simplify right side
    69,437x = 2,103,153,946.14
  5. Step 5: Solve for x
    x = 2,103,153,946.14/69,437
  6. Step 6: Final answer
    x = 30,288.66

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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.