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Finding the Fourth Proportional to 214,055.70, 321,055.77 and 80,918.61

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Solution

The fourth proportional to 214,055.70, 321,055.77 and 80,918.61 is: 121,367.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,055.70 : 321,055.77 = 80,918.61 : x
  2. Step 2: Convert to fraction form
    214,055.70/321,055.77 = 80,918.61/x
  3. Step 3: Cross multiply
    214,055.70x = 321,055.77 × 80,918.61
  4. Step 4: Simplify right side
    214,055.70x = 25,979,386,640.88
  5. Step 5: Solve for x
    x = 25,979,386,640.88/214,055.70
  6. Step 6: Final answer
    x = 121,367.41

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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.