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Finding the Fourth Proportional to 218,384.28, 326,968.14 and 111,536.88

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Solution

The fourth proportional to 218,384.28, 326,968.14 and 111,536.88 is: 166,994.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,384.28 : 326,968.14 = 111,536.88 : x
  2. Step 2: Convert to fraction form
    218,384.28/326,968.14 = 111,536.88/x
  3. Step 3: Cross multiply
    218,384.28x = 326,968.14 × 111,536.88
  4. Step 4: Simplify right side
    218,384.28x = 36,469,006,195.00
  5. Step 5: Solve for x
    x = 36,469,006,195.00/218,384.28
  6. Step 6: Final answer
    x = 166,994.65

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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.