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Finding the Fourth Proportional to 214,634.40, 321,951.60 and 125,930.40

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Solution

The fourth proportional to 214,634.40, 321,951.60 and 125,930.40 is: 188,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,634.40 : 321,951.60 = 125,930.40 : x
  2. Step 2: Convert to fraction form
    214,634.40/321,951.60 = 125,930.40/x
  3. Step 3: Cross multiply
    214,634.40x = 321,951.60 × 125,930.40
  4. Step 4: Simplify right side
    214,634.40x = 40,543,493,768.64
  5. Step 5: Solve for x
    x = 40,543,493,768.64/214,634.40
  6. Step 6: Final answer
    x = 188,895.60

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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.