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Finding the Fourth Proportional to 209,286.84, 313,923.24 and 90,958.17

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Solution

The fourth proportional to 209,286.84, 313,923.24 and 90,958.17 is: 136,434.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,286.84 : 313,923.24 = 90,958.17 : x
  2. Step 2: Convert to fraction form
    209,286.84/313,923.24 = 90,958.17/x
  3. Step 3: Cross multiply
    209,286.84x = 313,923.24 × 90,958.17
  4. Step 4: Simplify right side
    209,286.84x = 28,553,883,430.87
  5. Step 5: Solve for x
    x = 28,553,883,430.87/209,286.84
  6. Step 6: Final answer
    x = 136,434.20

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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.