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Finding the Fourth Proportional to 57,690, 86,535 and 16,137

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Solution

The fourth proportional to 57,690, 86,535 and 16,137 is: 24,205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,690 : 86,535 = 16,137 : x
  2. Step 2: Convert to fraction form
    57,690/86,535 = 16,137/x
  3. Step 3: Cross multiply
    57,690x = 86,535 × 16,137
  4. Step 4: Simplify right side
    57,690x = 1,396,415,295
  5. Step 5: Solve for x
    x = 1,396,415,295/57,690
  6. Step 6: Final answer
    x = 24,205.50

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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.