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Finding the Fourth Proportional to 76,076.56, 104,950.30 and 49,227.72

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Solution

The fourth proportional to 76,076.56, 104,950.30 and 49,227.72 is: 67,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,076.56 : 104,950.30 = 49,227.72 : x
  2. Step 2: Convert to fraction form
    76,076.56/104,950.30 = 49,227.72/x
  3. Step 3: Cross multiply
    76,076.56x = 104,950.30 × 49,227.72
  4. Step 4: Simplify right side
    76,076.56x = 5,166,463,982.32
  5. Step 5: Solve for x
    x = 5,166,463,982.32/76,076.56
  6. Step 6: Final answer
    x = 67,911.38

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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.