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Finding the Fourth Proportional to 209,287.20, 313,923.86 and 90,958.68

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Solution

The fourth proportional to 209,287.20, 313,923.86 and 90,958.68 is: 136,435.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,287.20 : 313,923.86 = 90,958.68 : x
  2. Step 2: Convert to fraction form
    209,287.20/313,923.86 = 90,958.68/x
  3. Step 3: Cross multiply
    209,287.20x = 313,923.86 × 90,958.68
  4. Step 4: Simplify right side
    209,287.20x = 28,554,099,926.10
  5. Step 5: Solve for x
    x = 28,554,099,926.10/209,287.20
  6. Step 6: Final answer
    x = 136,435.00

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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.