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Finding the Fourth Proportional to 208,658.78, 312,991.41 and 50,890.22

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Solution

The fourth proportional to 208,658.78, 312,991.41 and 50,890.22 is: 76,336.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,658.78 : 312,991.41 = 50,890.22 : x
  2. Step 2: Convert to fraction form
    208,658.78/312,991.41 = 50,890.22/x
  3. Step 3: Cross multiply
    208,658.78x = 312,991.41 × 50,890.22
  4. Step 4: Simplify right side
    208,658.78x = 15,928,201,713.01
  5. Step 5: Solve for x
    x = 15,928,201,713.01/208,658.78
  6. Step 6: Final answer
    x = 76,336.12

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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.