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Finding the Fourth Proportional to 218,170.64, 301,069.50 and 122,674.88

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Solution

The fourth proportional to 218,170.64, 301,069.50 and 122,674.88 is: 169,287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,170.64 : 301,069.50 = 122,674.88 : x
  2. Step 2: Convert to fraction form
    218,170.64/301,069.50 = 122,674.88/x
  3. Step 3: Cross multiply
    218,170.64x = 301,069.50 × 122,674.88
  4. Step 4: Simplify right side
    218,170.64x = 36,933,664,784.16
  5. Step 5: Solve for x
    x = 36,933,664,784.16/218,170.64
  6. Step 6: Final answer
    x = 169,287.97

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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.