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Finding the Fourth Proportional to 76,993, 115,489.50 and 18,625

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Solution

The fourth proportional to 76,993, 115,489.50 and 18,625 is: 27,937.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,993 : 115,489.50 = 18,625 : x
  2. Step 2: Convert to fraction form
    76,993/115,489.50 = 18,625/x
  3. Step 3: Cross multiply
    76,993x = 115,489.50 × 18,625
  4. Step 4: Simplify right side
    76,993x = 2,150,991,937.50
  5. Step 5: Solve for x
    x = 2,150,991,937.50/76,993
  6. Step 6: Final answer
    x = 27,937.50

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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.