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Finding the Fourth Proportional to 68,168.25, 102,256.02 and 21,424.77

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Solution

The fourth proportional to 68,168.25, 102,256.02 and 21,424.77 is: 32,138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,168.25 : 102,256.02 = 21,424.77 : x
  2. Step 2: Convert to fraction form
    68,168.25/102,256.02 = 21,424.77/x
  3. Step 3: Cross multiply
    68,168.25x = 102,256.02 × 21,424.77
  4. Step 4: Simplify right side
    68,168.25x = 2,190,811,709.62
  5. Step 5: Solve for x
    x = 2,190,811,709.62/68,168.25
  6. Step 6: Final answer
    x = 32,138.30

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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.