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Finding the Fourth Proportional to 68,638.21, 102,916.60 and 21,239.26

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Solution

The fourth proportional to 68,638.21, 102,916.60 and 21,239.26 is: 31,846.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,638.21 : 102,916.60 = 21,239.26 : x
  2. Step 2: Convert to fraction form
    68,638.21/102,916.60 = 21,239.26/x
  3. Step 3: Cross multiply
    68,638.21x = 102,916.60 × 21,239.26
  4. Step 4: Simplify right side
    68,638.21x = 2,185,872,115.33
  5. Step 5: Solve for x
    x = 2,185,872,115.33/68,638.21
  6. Step 6: Final answer
    x = 31,846.29

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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.