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Finding the Fourth Proportional to 54,793, 82,140.18 and 19,708

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Solution

The fourth proportional to 54,793, 82,140.18 and 19,708 is: 29,544.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,793 : 82,140.18 = 19,708 : x
  2. Step 2: Convert to fraction form
    54,793/82,140.18 = 19,708/x
  3. Step 3: Cross multiply
    54,793x = 82,140.18 × 19,708
  4. Step 4: Simplify right side
    54,793x = 1,618,818,667.44
  5. Step 5: Solve for x
    x = 1,618,818,667.44/54,793
  6. Step 6: Final answer
    x = 29,544.26

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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.