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Finding the Fourth Proportional to 133,203.21, 199,804.82 and 54,323.61

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Solution

The fourth proportional to 133,203.21, 199,804.82 and 54,323.61 is: 81,485.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,203.21 : 199,804.82 = 54,323.61 : x
  2. Step 2: Convert to fraction form
    133,203.21/199,804.82 = 54,323.61/x
  3. Step 3: Cross multiply
    133,203.21x = 199,804.82 × 54,323.61
  4. Step 4: Simplify right side
    133,203.21x = 10,854,118,846.18
  5. Step 5: Solve for x
    x = 10,854,118,846.18/133,203.21
  6. Step 6: Final answer
    x = 81,485.42

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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.