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Finding the Fourth Proportional to 181,638.40, 272,198.40 and 133,880.80

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Solution

The fourth proportional to 181,638.40, 272,198.40 and 133,880.80 is: 200,630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,638.40 : 272,198.40 = 133,880.80 : x
  2. Step 2: Convert to fraction form
    181,638.40/272,198.40 = 133,880.80/x
  3. Step 3: Cross multiply
    181,638.40x = 272,198.40 × 133,880.80
  4. Step 4: Simplify right side
    181,638.40x = 36,442,139,550.72
  5. Step 5: Solve for x
    x = 36,442,139,550.72/181,638.40
  6. Step 6: Final answer
    x = 200,630.15

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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.