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Finding the Fourth Proportional to 57,775, 86,662.50 and 13,999

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Solution

The fourth proportional to 57,775, 86,662.50 and 13,999 is: 20,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,775 : 86,662.50 = 13,999 : x
  2. Step 2: Convert to fraction form
    57,775/86,662.50 = 13,999/x
  3. Step 3: Cross multiply
    57,775x = 86,662.50 × 13,999
  4. Step 4: Simplify right side
    57,775x = 1,213,188,337.50
  5. Step 5: Solve for x
    x = 1,213,188,337.50/57,775
  6. Step 6: Final answer
    x = 20,998.50

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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.