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Finding the Fourth Proportional to 51,789.78, 77,696.01 and 16,728.66

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Solution

The fourth proportional to 51,789.78, 77,696.01 and 16,728.66 is: 25,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,789.78 : 77,696.01 = 16,728.66 : x
  2. Step 2: Convert to fraction form
    51,789.78/77,696.01 = 16,728.66/x
  3. Step 3: Cross multiply
    51,789.78x = 77,696.01 × 16,728.66
  4. Step 4: Simplify right side
    51,789.78x = 1,299,750,134.65
  5. Step 5: Solve for x
    x = 1,299,750,134.65/51,789.78
  6. Step 6: Final answer
    x = 25,096.65

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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.