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Finding the Fourth Proportional to 209,169.84, 313,793.64 and 84,598.32

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Solution

The fourth proportional to 209,169.84, 313,793.64 and 84,598.32 is: 126,913.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,169.84 : 313,793.64 = 84,598.32 : x
  2. Step 2: Convert to fraction form
    209,169.84/313,793.64 = 84,598.32/x
  3. Step 3: Cross multiply
    209,169.84x = 313,793.64 × 84,598.32
  4. Step 4: Simplify right side
    209,169.84x = 26,546,414,770.68
  5. Step 5: Solve for x
    x = 26,546,414,770.68/209,169.84
  6. Step 6: Final answer
    x = 126,913.20

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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.