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Finding the Fourth Proportional to 84,855.85, 127,284.94 and 21,676.49

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Solution

The fourth proportional to 84,855.85, 127,284.94 and 21,676.49 is: 32,515.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,855.85 : 127,284.94 = 21,676.49 : x
  2. Step 2: Convert to fraction form
    84,855.85/127,284.94 = 21,676.49/x
  3. Step 3: Cross multiply
    84,855.85x = 127,284.94 × 21,676.49
  4. Step 4: Simplify right side
    84,855.85x = 2,759,090,968.33
  5. Step 5: Solve for x
    x = 2,759,090,968.33/84,855.85
  6. Step 6: Final answer
    x = 32,515.04

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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.