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Finding the Fourth Proportional to 70,996.85, 106,511.68 and 21,075.85

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Solution

The fourth proportional to 70,996.85, 106,511.68 and 21,075.85 is: 31,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,996.85 : 106,511.68 = 21,075.85 : x
  2. Step 2: Convert to fraction form
    70,996.85/106,511.68 = 21,075.85/x
  3. Step 3: Cross multiply
    70,996.85x = 106,511.68 × 21,075.85
  4. Step 4: Simplify right side
    70,996.85x = 2,244,823,810.56
  5. Step 5: Solve for x
    x = 2,244,823,810.56/70,996.85
  6. Step 6: Final answer
    x = 31,618.64

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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.