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Finding the Fourth Proportional to 110,971.22, 166,498.74 and 66,628.88

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Solution

The fourth proportional to 110,971.22, 166,498.74 and 66,628.88 is: 99,968.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,971.22 : 166,498.74 = 66,628.88 : x
  2. Step 2: Convert to fraction form
    110,971.22/166,498.74 = 66,628.88/x
  3. Step 3: Cross multiply
    110,971.22x = 166,498.74 × 66,628.88
  4. Step 4: Simplify right side
    110,971.22x = 11,093,624,359.49
  5. Step 5: Solve for x
    x = 11,093,624,359.49/110,971.22
  6. Step 6: Final answer
    x = 99,968.49

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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.