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Finding the Fourth Proportional to 51,072.56, 76,618.56 and 19,905.38

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Solution

The fourth proportional to 51,072.56, 76,618.56 and 19,905.38 is: 29,861.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,072.56 : 76,618.56 = 19,905.38 : x
  2. Step 2: Convert to fraction form
    51,072.56/76,618.56 = 19,905.38/x
  3. Step 3: Cross multiply
    51,072.56x = 76,618.56 × 19,905.38
  4. Step 4: Simplify right side
    51,072.56x = 1,525,121,168.76
  5. Step 5: Solve for x
    x = 1,525,121,168.76/51,072.56
  6. Step 6: Final answer
    x = 29,861.85

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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.