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Finding the Fourth Proportional to 213,847.09, 295,078.09 and 118,353.56

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Solution

The fourth proportional to 213,847.09, 295,078.09 and 118,353.56 is: 163,310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,847.09 : 295,078.09 = 118,353.56 : x
  2. Step 2: Convert to fraction form
    213,847.09/295,078.09 = 118,353.56/x
  3. Step 3: Cross multiply
    213,847.09x = 295,078.09 × 118,353.56
  4. Step 4: Simplify right side
    213,847.09x = 34,923,540,880.14
  5. Step 5: Solve for x
    x = 34,923,540,880.14/213,847.09
  6. Step 6: Final answer
    x = 163,310.81

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1.5x scale

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.