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Finding the Fourth Proportional to 54,077.20, 81,077.40 and 20,784.40

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Solution

The fourth proportional to 54,077.20, 81,077.40 and 20,784.40 is: 31,161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,077.20 : 81,077.40 = 20,784.40 : x
  2. Step 2: Convert to fraction form
    54,077.20/81,077.40 = 20,784.40/x
  3. Step 3: Cross multiply
    54,077.20x = 81,077.40 × 20,784.40
  4. Step 4: Simplify right side
    54,077.20x = 1,685,145,112.56
  5. Step 5: Solve for x
    x = 1,685,145,112.56/54,077.20
  6. Step 6: Final answer
    x = 31,161.84

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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.