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Finding the Fourth Proportional to 54,814, 82,171.68 and 19,729

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Solution

The fourth proportional to 54,814, 82,171.68 and 19,729 is: 29,575.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,814 : 82,171.68 = 19,729 : x
  2. Step 2: Convert to fraction form
    54,814/82,171.68 = 19,729/x
  3. Step 3: Cross multiply
    54,814x = 82,171.68 × 19,729
  4. Step 4: Simplify right side
    54,814x = 1,621,165,074.72
  5. Step 5: Solve for x
    x = 1,621,165,074.72/54,814
  6. Step 6: Final answer
    x = 29,575.75

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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.