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Finding the Fourth Proportional to 54,759.83, 82,147.83 and 17,311.40

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Solution

The fourth proportional to 54,759.83, 82,147.83 and 17,311.40 is: 25,969.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,759.83 : 82,147.83 = 17,311.40 : x
  2. Step 2: Convert to fraction form
    54,759.83/82,147.83 = 17,311.40/x
  3. Step 3: Cross multiply
    54,759.83x = 82,147.83 × 17,311.40
  4. Step 4: Simplify right side
    54,759.83x = 1,422,094,149.63
  5. Step 5: Solve for x
    x = 1,422,094,149.63/54,759.83
  6. Step 6: Final answer
    x = 25,969.66

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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.