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Finding the Fourth Proportional to 214,132.70, 320,865.45 and 80,940.30

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Solution

The fourth proportional to 214,132.70, 320,865.45 and 80,940.30 is: 121,284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,132.70 : 320,865.45 = 80,940.30 : x
  2. Step 2: Convert to fraction form
    214,132.70/320,865.45 = 80,940.30/x
  3. Step 3: Cross multiply
    214,132.70x = 320,865.45 × 80,940.30
  4. Step 4: Simplify right side
    214,132.70x = 25,970,945,782.64
  5. Step 5: Solve for x
    x = 25,970,945,782.64/214,132.70
  6. Step 6: Final answer
    x = 121,284.35

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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.