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Finding the Fourth Proportional to 71,763.56, 107,649.74 and 21,847.36

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Solution

The fourth proportional to 71,763.56, 107,649.74 and 21,847.36 is: 32,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,763.56 : 107,649.74 = 21,847.36 : x
  2. Step 2: Convert to fraction form
    71,763.56/107,649.74 = 21,847.36/x
  3. Step 3: Cross multiply
    71,763.56x = 107,649.74 × 21,847.36
  4. Step 4: Simplify right side
    71,763.56x = 2,351,862,623.69
  5. Step 5: Solve for x
    x = 2,351,862,623.69/71,763.56
  6. Step 6: Final answer
    x = 32,772.38

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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.