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Finding the Fourth Proportional to 198,072, 273,339.81 and 113,188.86

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Solution

The fourth proportional to 198,072, 273,339.81 and 113,188.86 is: 156,200.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,072 : 273,339.81 = 113,188.86 : x
  2. Step 2: Convert to fraction form
    198,072/273,339.81 = 113,188.86/x
  3. Step 3: Cross multiply
    198,072x = 273,339.81 × 113,188.86
  4. Step 4: Simplify right side
    198,072x = 30,939,021,486.52
  5. Step 5: Solve for x
    x = 30,939,021,486.52/198,072
  6. Step 6: Final answer
    x = 156,200.88

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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.