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Finding the Fourth Proportional to 208,072.86, 311,978.06 and 114,644.22

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Solution

The fourth proportional to 208,072.86, 311,978.06 and 114,644.22 is: 171,894.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,072.86 : 311,978.06 = 114,644.22 : x
  2. Step 2: Convert to fraction form
    208,072.86/311,978.06 = 114,644.22/x
  3. Step 3: Cross multiply
    208,072.86x = 311,978.06 × 114,644.22
  4. Step 4: Simplify right side
    208,072.86x = 35,766,481,345.81
  5. Step 5: Solve for x
    x = 35,766,481,345.81/208,072.86
  6. Step 6: Final answer
    x = 171,894.02

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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.