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Finding the Fourth Proportional to 197,190.40, 295,882.80 and 78,865.60

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Solution

The fourth proportional to 197,190.40, 295,882.80 and 78,865.60 is: 118,337.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,190.40 : 295,882.80 = 78,865.60 : x
  2. Step 2: Convert to fraction form
    197,190.40/295,882.80 = 78,865.60/x
  3. Step 3: Cross multiply
    197,190.40x = 295,882.80 × 78,865.60
  4. Step 4: Simplify right side
    197,190.40x = 23,334,974,551.68
  5. Step 5: Solve for x
    x = 23,334,974,551.68/197,190.40
  6. Step 6: Final answer
    x = 118,337.27

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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.