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Finding the Fourth Proportional to 57,186, 85,779 and 15,633

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Solution

The fourth proportional to 57,186, 85,779 and 15,633 is: 23,449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,186 : 85,779 = 15,633 : x
  2. Step 2: Convert to fraction form
    57,186/85,779 = 15,633/x
  3. Step 3: Cross multiply
    57,186x = 85,779 × 15,633
  4. Step 4: Simplify right side
    57,186x = 1,340,983,107
  5. Step 5: Solve for x
    x = 1,340,983,107/57,186
  6. Step 6: Final answer
    x = 23,449.50

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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.