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Finding the Fourth Proportional to 198,511.41, 273,978.42 and 144,973.65

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Solution

The fourth proportional to 198,511.41, 273,978.42 and 144,973.65 is: 200,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,511.41 : 273,978.42 = 144,973.65 : x
  2. Step 2: Convert to fraction form
    198,511.41/273,978.42 = 144,973.65/x
  3. Step 3: Cross multiply
    198,511.41x = 273,978.42 × 144,973.65
  4. Step 4: Simplify right side
    198,511.41x = 39,719,651,568.63
  5. Step 5: Solve for x
    x = 39,719,651,568.63/198,511.41
  6. Step 6: Final answer
    x = 200,087.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.