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Finding the Fourth Proportional to 217,912.14, 300,716.94 and 122,416.78

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Solution

The fourth proportional to 217,912.14, 300,716.94 and 122,416.78 is: 168,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,912.14 : 300,716.94 = 122,416.78 : x
  2. Step 2: Convert to fraction form
    217,912.14/300,716.94 = 122,416.78/x
  3. Step 3: Cross multiply
    217,912.14x = 300,716.94 × 122,416.78
  4. Step 4: Simplify right side
    217,912.14x = 36,812,799,486.25
  5. Step 5: Solve for x
    x = 36,812,799,486.25/217,912.14
  6. Step 6: Final answer
    x = 168,934.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.