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Finding the Fourth Proportional to 202,470.20, 303,978.90 and 118,316.60

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Solution

The fourth proportional to 202,470.20, 303,978.90 and 118,316.60 is: 177,634.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,470.20 : 303,978.90 = 118,316.60 : x
  2. Step 2: Convert to fraction form
    202,470.20/303,978.90 = 118,316.60/x
  3. Step 3: Cross multiply
    202,470.20x = 303,978.90 × 118,316.60
  4. Step 4: Simplify right side
    202,470.20x = 35,965,749,919.74
  5. Step 5: Solve for x
    x = 35,965,749,919.74/202,470.20
  6. Step 6: Final answer
    x = 177,634.78

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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.