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Finding the Fourth Proportional to 214,033.40, 320,819.70 and 80,862.20

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Solution

The fourth proportional to 214,033.40, 320,819.70 and 80,862.20 is: 121,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,033.40 : 320,819.70 = 80,862.20 : x
  2. Step 2: Convert to fraction form
    214,033.40/320,819.70 = 80,862.20/x
  3. Step 3: Cross multiply
    214,033.40x = 320,819.70 × 80,862.20
  4. Step 4: Simplify right side
    214,033.40x = 25,942,186,745.34
  5. Step 5: Solve for x
    x = 25,942,186,745.34/214,033.40
  6. Step 6: Final answer
    x = 121,206.25

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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.