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Finding the Fourth Proportional to 213,889.54, 321,415.89 and 114,120.22

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Solution

The fourth proportional to 213,889.54, 321,415.89 and 114,120.22 is: 171,490.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,889.54 : 321,415.89 = 114,120.22 : x
  2. Step 2: Convert to fraction form
    213,889.54/321,415.89 = 114,120.22/x
  3. Step 3: Cross multiply
    213,889.54x = 321,415.89 × 114,120.22
  4. Step 4: Simplify right side
    213,889.54x = 36,680,052,078.30
  5. Step 5: Solve for x
    x = 36,680,052,078.30/213,889.54
  6. Step 6: Final answer
    x = 171,490.63

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1.5x scale

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.