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Finding the Fourth Proportional to 53,859.97, 80,819.13 and 51,896.53

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Solution

The fourth proportional to 53,859.97, 80,819.13 and 51,896.53 is: 77,872.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,859.97 : 80,819.13 = 51,896.53 : x
  2. Step 2: Convert to fraction form
    53,859.97/80,819.13 = 51,896.53/x
  3. Step 3: Cross multiply
    53,859.97x = 80,819.13 × 51,896.53
  4. Step 4: Simplify right side
    53,859.97x = 4,194,232,404.62
  5. Step 5: Solve for x
    x = 4,194,232,404.62/53,859.97
  6. Step 6: Final answer
    x = 77,872.91

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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.