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Finding the Fourth Proportional to 218,381.28, 326,963.64 and 111,533.88

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Solution

The fourth proportional to 218,381.28, 326,963.64 and 111,533.88 is: 166,990.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,381.28 : 326,963.64 = 111,533.88 : x
  2. Step 2: Convert to fraction form
    218,381.28/326,963.64 = 111,533.88/x
  3. Step 3: Cross multiply
    218,381.28x = 326,963.64 × 111,533.88
  4. Step 4: Simplify right side
    218,381.28x = 36,467,523,388.12
  5. Step 5: Solve for x
    x = 36,467,523,388.12/218,381.28
  6. Step 6: Final answer
    x = 166,990.15

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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.