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Finding the Fourth Proportional to 208,414.83, 312,558.41 and 75,278.67

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Solution

The fourth proportional to 208,414.83, 312,558.41 and 75,278.67 is: 112,894.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,414.83 : 312,558.41 = 75,278.67 : x
  2. Step 2: Convert to fraction form
    208,414.83/312,558.41 = 75,278.67/x
  3. Step 3: Cross multiply
    208,414.83x = 312,558.41 × 75,278.67
  4. Step 4: Simplify right side
    208,414.83x = 23,528,981,025.72
  5. Step 5: Solve for x
    x = 23,528,981,025.72/208,414.83
  6. Step 6: Final answer
    x = 112,894.95

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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.