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Finding the Fourth Proportional to 54,647.40, 75,416.22 and 33,420

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Solution

The fourth proportional to 54,647.40, 75,416.22 and 33,420 is: 46,121.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,647.40 : 75,416.22 = 33,420 : x
  2. Step 2: Convert to fraction form
    54,647.40/75,416.22 = 33,420/x
  3. Step 3: Cross multiply
    54,647.40x = 75,416.22 × 33,420
  4. Step 4: Simplify right side
    54,647.40x = 2,520,410,072.40
  5. Step 5: Solve for x
    x = 2,520,410,072.40/54,647.40
  6. Step 6: Final answer
    x = 46,121.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.