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Finding the Fourth Proportional to 51,822, 71,523 and 39,224.88

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Solution

The fourth proportional to 51,822, 71,523 and 39,224.88 is: 54,136.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,822 : 71,523 = 39,224.88 : x
  2. Step 2: Convert to fraction form
    51,822/71,523 = 39,224.88/x
  3. Step 3: Cross multiply
    51,822x = 71,523 × 39,224.88
  4. Step 4: Simplify right side
    51,822x = 2,805,481,092.24
  5. Step 5: Solve for x
    x = 2,805,481,092.24/51,822
  6. Step 6: Final answer
    x = 54,136.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.