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Finding the Fourth Proportional to 209,230.20, 313,845.30 and 76,114.80

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Solution

The fourth proportional to 209,230.20, 313,845.30 and 76,114.80 is: 114,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,230.20 : 313,845.30 = 76,114.80 : x
  2. Step 2: Convert to fraction form
    209,230.20/313,845.30 = 76,114.80/x
  3. Step 3: Cross multiply
    209,230.20x = 313,845.30 × 76,114.80
  4. Step 4: Simplify right side
    209,230.20x = 23,888,272,240.44
  5. Step 5: Solve for x
    x = 23,888,272,240.44/209,230.20
  6. Step 6: Final answer
    x = 114,172.20

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1.5x scale

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.