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Finding the Fourth Proportional to 54,871.83, 82,251.25 and 21,578.40

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Solution

The fourth proportional to 54,871.83, 82,251.25 and 21,578.40 is: 32,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,871.83 : 82,251.25 = 21,578.40 : x
  2. Step 2: Convert to fraction form
    54,871.83/82,251.25 = 21,578.40/x
  3. Step 3: Cross multiply
    54,871.83x = 82,251.25 × 21,578.40
  4. Step 4: Simplify right side
    54,871.83x = 1,774,850,319.05
  5. Step 5: Solve for x
    x = 1,774,850,319.05/54,871.83
  6. Step 6: Final answer
    x = 32,345.38

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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.