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Finding the Fourth Proportional to 67,296, 100,867.44 and 40,942.64

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Solution

The fourth proportional to 67,296, 100,867.44 and 40,942.64 is: 61,367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,296 : 100,867.44 = 40,942.64 : x
  2. Step 2: Convert to fraction form
    67,296/100,867.44 = 40,942.64/x
  3. Step 3: Cross multiply
    67,296x = 100,867.44 × 40,942.64
  4. Step 4: Simplify right side
    67,296x = 4,129,779,283.64
  5. Step 5: Solve for x
    x = 4,129,779,283.64/67,296
  6. Step 6: Final answer
    x = 61,367.38

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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.