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Finding the Fourth Proportional to 71,313.65, 106,964.09 and 21,404.89

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Solution

The fourth proportional to 71,313.65, 106,964.09 and 21,404.89 is: 32,105.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,313.65 : 106,964.09 = 21,404.89 : x
  2. Step 2: Convert to fraction form
    71,313.65/106,964.09 = 21,404.89/x
  3. Step 3: Cross multiply
    71,313.65x = 106,964.09 × 21,404.89
  4. Step 4: Simplify right side
    71,313.65x = 2,289,554,580.40
  5. Step 5: Solve for x
    x = 2,289,554,580.40/71,313.65
  6. Step 6: Final answer
    x = 32,105.42

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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.