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Finding the Fourth Proportional to 69,322.56, 103,967.90 and 19,406.22

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Solution

The fourth proportional to 69,322.56, 103,967.90 and 19,406.22 is: 29,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,322.56 : 103,967.90 = 19,406.22 : x
  2. Step 2: Convert to fraction form
    69,322.56/103,967.90 = 19,406.22/x
  3. Step 3: Cross multiply
    69,322.56x = 103,967.90 × 19,406.22
  4. Step 4: Simplify right side
    69,322.56x = 2,017,623,940.34
  5. Step 5: Solve for x
    x = 2,017,623,940.34/69,322.56
  6. Step 6: Final answer
    x = 29,104.87

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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.