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Finding the Fourth Proportional to 218,782.94, 328,171.14 and 133,418.88

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Solution

The fourth proportional to 218,782.94, 328,171.14 and 133,418.88 is: 200,126.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,782.94 : 328,171.14 = 133,418.88 : x
  2. Step 2: Convert to fraction form
    218,782.94/328,171.14 = 133,418.88/x
  3. Step 3: Cross multiply
    218,782.94x = 328,171.14 × 133,418.88
  4. Step 4: Simplify right side
    218,782.94x = 43,784,225,947.12
  5. Step 5: Solve for x
    x = 43,784,225,947.12/218,782.94
  6. Step 6: Final answer
    x = 200,126.33

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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.