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Finding the Fourth Proportional to 208,387.76, 287,469.41 and 131,777.75

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Solution

The fourth proportional to 208,387.76, 287,469.41 and 131,777.75 is: 181,786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,387.76 : 287,469.41 = 131,777.75 : x
  2. Step 2: Convert to fraction form
    208,387.76/287,469.41 = 131,777.75/x
  3. Step 3: Cross multiply
    208,387.76x = 287,469.41 × 131,777.75
  4. Step 4: Simplify right side
    208,387.76x = 37,882,072,103.41
  5. Step 5: Solve for x
    x = 37,882,072,103.41/208,387.76
  6. Step 6: Final answer
    x = 181,786.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.