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Finding the Fourth Proportional to 208,730.56, 312,846.73 and 113,984.60

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Solution

The fourth proportional to 208,730.56, 312,846.73 and 113,984.60 is: 170,840.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,730.56 : 312,846.73 = 113,984.60 : x
  2. Step 2: Convert to fraction form
    208,730.56/312,846.73 = 113,984.60/x
  3. Step 3: Cross multiply
    208,730.56x = 312,846.73 × 113,984.60
  4. Step 4: Simplify right side
    208,730.56x = 35,659,709,380.36
  5. Step 5: Solve for x
    x = 35,659,709,380.36/208,730.56
  6. Step 6: Final answer
    x = 170,840.86

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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.