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Finding the Fourth Proportional to 54,952.35, 82,431.81 and 21,218.55

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Solution

The fourth proportional to 54,952.35, 82,431.81 and 21,218.55 is: 31,829.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,952.35 : 82,431.81 = 21,218.55 : x
  2. Step 2: Convert to fraction form
    54,952.35/82,431.81 = 21,218.55/x
  3. Step 3: Cross multiply
    54,952.35x = 82,431.81 × 21,218.55
  4. Step 4: Simplify right side
    54,952.35x = 1,749,083,482.08
  5. Step 5: Solve for x
    x = 1,749,083,482.08/54,952.35
  6. Step 6: Final answer
    x = 31,829.09

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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.