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Finding the Fourth Proportional to 133,198.21, 199,797.32 and 54,318.59

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Solution

The fourth proportional to 133,198.21, 199,797.32 and 54,318.59 is: 81,477.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,198.21 : 199,797.32 = 54,318.59 : x
  2. Step 2: Convert to fraction form
    133,198.21/199,797.32 = 54,318.59/x
  3. Step 3: Cross multiply
    133,198.21x = 199,797.32 × 54,318.59
  4. Step 4: Simplify right side
    133,198.21x = 10,852,708,708.18
  5. Step 5: Solve for x
    x = 10,852,708,708.18/133,198.21
  6. Step 6: Final answer
    x = 81,477.89

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1.5x scale

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.