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Finding the Fourth Proportional to 71,795.72, 107,662.29 and 21,864.08

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Solution

The fourth proportional to 71,795.72, 107,662.29 and 21,864.08 is: 32,786.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,795.72 : 107,662.29 = 21,864.08 : x
  2. Step 2: Convert to fraction form
    71,795.72/107,662.29 = 21,864.08/x
  3. Step 3: Cross multiply
    71,795.72x = 107,662.29 × 21,864.08
  4. Step 4: Simplify right side
    71,795.72x = 2,353,936,564.60
  5. Step 5: Solve for x
    x = 2,353,936,564.60/71,795.72
  6. Step 6: Final answer
    x = 32,786.59

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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.