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Finding the Fourth Proportional to 68,064, 102,096 and 26,540.16

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Solution

The fourth proportional to 68,064, 102,096 and 26,540.16 is: 39,810.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,064 : 102,096 = 26,540.16 : x
  2. Step 2: Convert to fraction form
    68,064/102,096 = 26,540.16/x
  3. Step 3: Cross multiply
    68,064x = 102,096 × 26,540.16
  4. Step 4: Simplify right side
    68,064x = 2,709,644,175.36
  5. Step 5: Solve for x
    x = 2,709,644,175.36/68,064
  6. Step 6: Final answer
    x = 39,810.24

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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.