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Finding the Fourth Proportional to 68,698.98, 103,063.14 and 21,313.05

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Solution

The fourth proportional to 68,698.98, 103,063.14 and 21,313.05 is: 31,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,698.98 : 103,063.14 = 21,313.05 : x
  2. Step 2: Convert to fraction form
    68,698.98/103,063.14 = 21,313.05/x
  3. Step 3: Cross multiply
    68,698.98x = 103,063.14 × 21,313.05
  4. Step 4: Simplify right side
    68,698.98x = 2,196,589,855.98
  5. Step 5: Solve for x
    x = 2,196,589,855.98/68,698.98
  6. Step 6: Final answer
    x = 31,974.13

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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.