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Finding the Fourth Proportional to 54,453.60, 81,682.80 and 30,760.80

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Solution

The fourth proportional to 54,453.60, 81,682.80 and 30,760.80 is: 46,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,453.60 : 81,682.80 = 30,760.80 : x
  2. Step 2: Convert to fraction form
    54,453.60/81,682.80 = 30,760.80/x
  3. Step 3: Cross multiply
    54,453.60x = 81,682.80 × 30,760.80
  4. Step 4: Simplify right side
    54,453.60x = 2,512,628,274.24
  5. Step 5: Solve for x
    x = 2,512,628,274.24/54,453.60
  6. Step 6: Final answer
    x = 46,142.56

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1.5x scale

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.