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Finding the Fourth Proportional to 139,571.60, 209,357.40 and 100,205.60

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Solution

The fourth proportional to 139,571.60, 209,357.40 and 100,205.60 is: 150,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,571.60 : 209,357.40 = 100,205.60 : x
  2. Step 2: Convert to fraction form
    139,571.60/209,357.40 = 100,205.60/x
  3. Step 3: Cross multiply
    139,571.60x = 209,357.40 × 100,205.60
  4. Step 4: Simplify right side
    139,571.60x = 20,978,783,881.44
  5. Step 5: Solve for x
    x = 20,978,783,881.44/139,571.60
  6. Step 6: Final answer
    x = 150,308.40

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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.