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Finding the Fourth Proportional to 214,608.32, 321,912.52 and 81,488.64

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Solution

The fourth proportional to 214,608.32, 321,912.52 and 81,488.64 is: 122,232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,608.32 : 321,912.52 = 81,488.64 : x
  2. Step 2: Convert to fraction form
    214,608.32/321,912.52 = 81,488.64/x
  3. Step 3: Cross multiply
    214,608.32x = 321,912.52 × 81,488.64
  4. Step 4: Simplify right side
    214,608.32x = 26,232,213,453.77
  5. Step 5: Solve for x
    x = 26,232,213,453.77/214,608.32
  6. Step 6: Final answer
    x = 122,232.98

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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.