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Finding the Fourth Proportional to 31,300, 43,194 and 18,059.68

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Solution

The fourth proportional to 31,300, 43,194 and 18,059.68 is: 24,922.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,300 : 43,194 = 18,059.68 : x
  2. Step 2: Convert to fraction form
    31,300/43,194 = 18,059.68/x
  3. Step 3: Cross multiply
    31,300x = 43,194 × 18,059.68
  4. Step 4: Simplify right side
    31,300x = 780,069,817.92
  5. Step 5: Solve for x
    x = 780,069,817.92/31,300
  6. Step 6: Final answer
    x = 24,922.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.