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Finding the Fourth Proportional to 208,115.60, 312,141.72 and 67,874

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Solution

The fourth proportional to 208,115.60, 312,141.72 and 67,874 is: 101,800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,115.60 : 312,141.72 = 67,874 : x
  2. Step 2: Convert to fraction form
    208,115.60/312,141.72 = 67,874/x
  3. Step 3: Cross multiply
    208,115.60x = 312,141.72 × 67,874
  4. Step 4: Simplify right side
    208,115.60x = 21,186,307,103.28
  5. Step 5: Solve for x
    x = 21,186,307,103.28/208,115.60
  6. Step 6: Final answer
    x = 101,800.67

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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.