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Finding the Fourth Proportional to 54,078.40, 80,923.20 and 49,412.80

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Solution

The fourth proportional to 54,078.40, 80,923.20 and 49,412.80 is: 73,941.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,078.40 : 80,923.20 = 49,412.80 : x
  2. Step 2: Convert to fraction form
    54,078.40/80,923.20 = 49,412.80/x
  3. Step 3: Cross multiply
    54,078.40x = 80,923.20 × 49,412.80
  4. Step 4: Simplify right side
    54,078.40x = 3,998,641,896.96
  5. Step 5: Solve for x
    x = 3,998,641,896.96/54,078.40
  6. Step 6: Final answer
    x = 73,941.57

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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.