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Finding the Fourth Proportional to 208,105.60, 312,126.72 and 67,864

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Solution

The fourth proportional to 208,105.60, 312,126.72 and 67,864 is: 101,785.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,105.60 : 312,126.72 = 67,864 : x
  2. Step 2: Convert to fraction form
    208,105.60/312,126.72 = 67,864/x
  3. Step 3: Cross multiply
    208,105.60x = 312,126.72 × 67,864
  4. Step 4: Simplify right side
    208,105.60x = 21,182,167,726.08
  5. Step 5: Solve for x
    x = 21,182,167,726.08/208,105.60
  6. Step 6: Final answer
    x = 101,785.67

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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.