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Finding the Fourth Proportional to 81,878.67, 122,810.94 and 49,849.41

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Solution

The fourth proportional to 81,878.67, 122,810.94 and 49,849.41 is: 74,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,878.67 : 122,810.94 = 49,849.41 : x
  2. Step 2: Convert to fraction form
    81,878.67/122,810.94 = 49,849.41/x
  3. Step 3: Cross multiply
    81,878.67x = 122,810.94 × 49,849.41
  4. Step 4: Simplify right side
    81,878.67x = 6,122,052,900.55
  5. Step 5: Solve for x
    x = 6,122,052,900.55/81,878.67
  6. Step 6: Final answer
    x = 74,769.81

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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.