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Finding the Fourth Proportional to 167,039.95, 250,440.87 and 78,245

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Solution

The fourth proportional to 167,039.95, 250,440.87 and 78,245 is: 117,311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,039.95 : 250,440.87 = 78,245 : x
  2. Step 2: Convert to fraction form
    167,039.95/250,440.87 = 78,245/x
  3. Step 3: Cross multiply
    167,039.95x = 250,440.87 × 78,245
  4. Step 4: Simplify right side
    167,039.95x = 19,595,745,873.15
  5. Step 5: Solve for x
    x = 19,595,745,873.15/167,039.95
  6. Step 6: Final answer
    x = 117,311.74

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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.