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Finding the Fourth Proportional to 214,698.84, 321,958.20 and 81,505.68

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Solution

The fourth proportional to 214,698.84, 321,958.20 and 81,505.68 is: 122,224.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,698.84 : 321,958.20 = 81,505.68 : x
  2. Step 2: Convert to fraction form
    214,698.84/321,958.20 = 81,505.68/x
  3. Step 3: Cross multiply
    214,698.84x = 321,958.20 × 81,505.68
  4. Step 4: Simplify right side
    214,698.84x = 26,241,422,022.58
  5. Step 5: Solve for x
    x = 26,241,422,022.58/214,698.84
  6. Step 6: Final answer
    x = 122,224.33

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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.