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Finding the Fourth Proportional to 54,201.60, 81,221.76 and 32,019.84

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Solution

The fourth proportional to 54,201.60, 81,221.76 and 32,019.84 is: 47,982.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,201.60 : 81,221.76 = 32,019.84 : x
  2. Step 2: Convert to fraction form
    54,201.60/81,221.76 = 32,019.84/x
  3. Step 3: Cross multiply
    54,201.60x = 81,221.76 × 32,019.84
  4. Step 4: Simplify right side
    54,201.60x = 2,600,707,759.72
  5. Step 5: Solve for x
    x = 2,600,707,759.72/54,201.60
  6. Step 6: Final answer
    x = 47,982.12

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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.