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Finding the Fourth Proportional to 83,884, 125,826 and 21,554.50

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Solution

The fourth proportional to 83,884, 125,826 and 21,554.50 is: 32,331.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,884 : 125,826 = 21,554.50 : x
  2. Step 2: Convert to fraction form
    83,884/125,826 = 21,554.50/x
  3. Step 3: Cross multiply
    83,884x = 125,826 × 21,554.50
  4. Step 4: Simplify right side
    83,884x = 2,712,116,517
  5. Step 5: Solve for x
    x = 2,712,116,517/83,884
  6. Step 6: Final answer
    x = 32,331.75

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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.