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Finding the Fourth Proportional to 214,114.40, 321,074.40 and 80,950.40

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Solution

The fourth proportional to 214,114.40, 321,074.40 and 80,950.40 is: 121,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,114.40 : 321,074.40 = 80,950.40 : x
  2. Step 2: Convert to fraction form
    214,114.40/321,074.40 = 80,950.40/x
  3. Step 3: Cross multiply
    214,114.40x = 321,074.40 × 80,950.40
  4. Step 4: Simplify right side
    214,114.40x = 25,991,101,109.76
  5. Step 5: Solve for x
    x = 25,991,101,109.76/214,114.40
  6. Step 6: Final answer
    x = 121,388.85

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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.