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Finding the Fourth Proportional to 66,105, 99,157.50 and 16,857

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Solution

The fourth proportional to 66,105, 99,157.50 and 16,857 is: 25,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,105 : 99,157.50 = 16,857 : x
  2. Step 2: Convert to fraction form
    66,105/99,157.50 = 16,857/x
  3. Step 3: Cross multiply
    66,105x = 99,157.50 × 16,857
  4. Step 4: Simplify right side
    66,105x = 1,671,497,977.50
  5. Step 5: Solve for x
    x = 1,671,497,977.50/66,105
  6. Step 6: Final answer
    x = 25,285.50

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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.