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Finding the Fourth Proportional to 214,093.80, 320,751.90 and 130,890.60

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Solution

The fourth proportional to 214,093.80, 320,751.90 and 130,890.60 is: 196,098.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,093.80 : 320,751.90 = 130,890.60 : x
  2. Step 2: Convert to fraction form
    214,093.80/320,751.90 = 130,890.60/x
  3. Step 3: Cross multiply
    214,093.80x = 320,751.90 × 130,890.60
  4. Step 4: Simplify right side
    214,093.80x = 41,983,408,642.14
  5. Step 5: Solve for x
    x = 41,983,408,642.14/214,093.80
  6. Step 6: Final answer
    x = 196,098.20

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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.