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Finding the Fourth Proportional to 208,193.40, 312,213.30 and 67,956.60

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Solution

The fourth proportional to 208,193.40, 312,213.30 and 67,956.60 is: 101,909.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,193.40 : 312,213.30 = 67,956.60 : x
  2. Step 2: Convert to fraction form
    208,193.40/312,213.30 = 67,956.60/x
  3. Step 3: Cross multiply
    208,193.40x = 312,213.30 × 67,956.60
  4. Step 4: Simplify right side
    208,193.40x = 21,216,954,342.78
  5. Step 5: Solve for x
    x = 21,216,954,342.78/208,193.40
  6. Step 6: Final answer
    x = 101,909.83

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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.