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Finding the Fourth Proportional to 133,005.69, 199,283.00 and 80,304.48

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Solution

The fourth proportional to 133,005.69, 199,283.00 and 80,304.48 is: 120,320.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,005.69 : 199,283.00 = 80,304.48 : x
  2. Step 2: Convert to fraction form
    133,005.69/199,283.00 = 80,304.48/x
  3. Step 3: Cross multiply
    133,005.69x = 199,283.00 × 80,304.48
  4. Step 4: Simplify right side
    133,005.69x = 16,003,317,286.32
  5. Step 5: Solve for x
    x = 16,003,317,286.32/133,005.69
  6. Step 6: Final answer
    x = 120,320.55

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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.