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Finding the Fourth Proportional to 213,026.56, 319,705.08 and 80,027.80

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Solution

The fourth proportional to 213,026.56, 319,705.08 and 80,027.80 is: 120,103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,026.56 : 319,705.08 = 80,027.80 : x
  2. Step 2: Convert to fraction form
    213,026.56/319,705.08 = 80,027.80/x
  3. Step 3: Cross multiply
    213,026.56x = 319,705.08 × 80,027.80
  4. Step 4: Simplify right side
    213,026.56x = 25,585,294,201.22
  5. Step 5: Solve for x
    x = 25,585,294,201.22/213,026.56
  6. Step 6: Final answer
    x = 120,103.78

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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.