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Finding the Fourth Proportional to 208,161.77, 312,243.48 and 50,389.97

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Solution

The fourth proportional to 208,161.77, 312,243.48 and 50,389.97 is: 75,585.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,161.77 : 312,243.48 = 50,389.97 : x
  2. Step 2: Convert to fraction form
    208,161.77/312,243.48 = 50,389.97/x
  3. Step 3: Cross multiply
    208,161.77x = 312,243.48 × 50,389.97
  4. Step 4: Simplify right side
    208,161.77x = 15,733,939,589.90
  5. Step 5: Solve for x
    x = 15,733,939,589.90/208,161.77
  6. Step 6: Final answer
    x = 75,585.15

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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.