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Finding the Fourth Proportional to 68,255.36, 102,401.52 and 20,869.16

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Solution

The fourth proportional to 68,255.36, 102,401.52 and 20,869.16 is: 31,309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,255.36 : 102,401.52 = 20,869.16 : x
  2. Step 2: Convert to fraction form
    68,255.36/102,401.52 = 20,869.16/x
  3. Step 3: Cross multiply
    68,255.36x = 102,401.52 × 20,869.16
  4. Step 4: Simplify right side
    68,255.36x = 2,137,033,705.12
  5. Step 5: Solve for x
    x = 2,137,033,705.12/68,255.36
  6. Step 6: Final answer
    x = 31,309.39

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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.