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Finding the Fourth Proportional to 54,954.60, 82,435.19 and 21,220.80

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Solution

The fourth proportional to 54,954.60, 82,435.19 and 21,220.80 is: 31,832.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,954.60 : 82,435.19 = 21,220.80 : x
  2. Step 2: Convert to fraction form
    54,954.60/82,435.19 = 21,220.80/x
  3. Step 3: Cross multiply
    54,954.60x = 82,435.19 × 21,220.80
  4. Step 4: Simplify right side
    54,954.60x = 1,749,340,679.95
  5. Step 5: Solve for x
    x = 1,749,340,679.95/54,954.60
  6. Step 6: Final answer
    x = 31,832.47

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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.