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Finding the Fourth Proportional to 197,180.80, 295,684.80 and 78,812.80

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Solution

The fourth proportional to 197,180.80, 295,684.80 and 78,812.80 is: 118,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,180.80 : 295,684.80 = 78,812.80 : x
  2. Step 2: Convert to fraction form
    197,180.80/295,684.80 = 78,812.80/x
  3. Step 3: Cross multiply
    197,180.80x = 295,684.80 × 78,812.80
  4. Step 4: Simplify right side
    197,180.80x = 23,303,747,005.44
  5. Step 5: Solve for x
    x = 23,303,747,005.44/197,180.80
  6. Step 6: Final answer
    x = 118,184.67

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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.