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Finding the Fourth Proportional to 54,034.86, 80,964.81 and 40,912.86

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Solution

The fourth proportional to 54,034.86, 80,964.81 and 40,912.86 is: 61,303.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,034.86 : 80,964.81 = 40,912.86 : x
  2. Step 2: Convert to fraction form
    54,034.86/80,964.81 = 40,912.86/x
  3. Step 3: Cross multiply
    54,034.86x = 80,964.81 × 40,912.86
  4. Step 4: Simplify right side
    54,034.86x = 3,312,501,936.46
  5. Step 5: Solve for x
    x = 3,312,501,936.46/54,034.86
  6. Step 6: Final answer
    x = 61,303.05

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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.