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Finding the Fourth Proportional to 71,645, 107,467.50 and 27,869

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Solution

The fourth proportional to 71,645, 107,467.50 and 27,869 is: 41,803.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,645 : 107,467.50 = 27,869 : x
  2. Step 2: Convert to fraction form
    71,645/107,467.50 = 27,869/x
  3. Step 3: Cross multiply
    71,645x = 107,467.50 × 27,869
  4. Step 4: Simplify right side
    71,645x = 2,995,011,757.50
  5. Step 5: Solve for x
    x = 2,995,011,757.50/71,645
  6. Step 6: Final answer
    x = 41,803.50

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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.