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Finding the Fourth Proportional to 208,520.73, 312,818.15 and 75,586.67

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Solution

The fourth proportional to 208,520.73, 312,818.15 and 75,586.67 is: 113,393.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,520.73 : 312,818.15 = 75,586.67 : x
  2. Step 2: Convert to fraction form
    208,520.73/312,818.15 = 75,586.67/x
  3. Step 3: Cross multiply
    208,520.73x = 312,818.15 × 75,586.67
  4. Step 4: Simplify right side
    208,520.73x = 23,644,882,072.00
  5. Step 5: Solve for x
    x = 23,644,882,072.00/208,520.73
  6. Step 6: Final answer
    x = 113,393.44

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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.