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Finding the Fourth Proportional to 54,819, 82,228.91 and 13,266

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Solution

The fourth proportional to 54,819, 82,228.91 and 13,266 is: 19,899.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,819 : 82,228.91 = 13,266 : x
  2. Step 2: Convert to fraction form
    54,819/82,228.91 = 13,266/x
  3. Step 3: Cross multiply
    54,819x = 82,228.91 × 13,266
  4. Step 4: Simplify right side
    54,819x = 1,090,848,653.73
  5. Step 5: Solve for x
    x = 1,090,848,653.73/54,819
  6. Step 6: Final answer
    x = 19,899.10

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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.