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Finding the Fourth Proportional to 111,294.32, 166,718.88 and 66,896.96

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Solution

The fourth proportional to 111,294.32, 166,718.88 and 66,896.96 is: 100,211.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,294.32 : 166,718.88 = 66,896.96 : x
  2. Step 2: Convert to fraction form
    111,294.32/166,718.88 = 66,896.96/x
  3. Step 3: Cross multiply
    111,294.32x = 166,718.88 × 66,896.96
  4. Step 4: Simplify right side
    111,294.32x = 11,152,986,246.60
  5. Step 5: Solve for x
    x = 11,152,986,246.60/111,294.32
  6. Step 6: Final answer
    x = 100,211.64

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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.