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Finding the Fourth Proportional to 69,321.96, 103,982.95 and 19,409.41

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Solution

The fourth proportional to 69,321.96, 103,982.95 and 19,409.41 is: 29,114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,321.96 : 103,982.95 = 19,409.41 : x
  2. Step 2: Convert to fraction form
    69,321.96/103,982.95 = 19,409.41/x
  3. Step 3: Cross multiply
    69,321.96x = 103,982.95 × 19,409.41
  4. Step 4: Simplify right side
    69,321.96x = 2,018,247,189.64
  5. Step 5: Solve for x
    x = 2,018,247,189.64/69,321.96
  6. Step 6: Final answer
    x = 29,114.11

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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.