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Finding the Fourth Proportional to 197,136.60, 295,777.80 and 78,892.80

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Solution

The fourth proportional to 197,136.60, 295,777.80 and 78,892.80 is: 118,368.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,136.60 : 295,777.80 = 78,892.80 : x
  2. Step 2: Convert to fraction form
    197,136.60/295,777.80 = 78,892.80/x
  3. Step 3: Cross multiply
    197,136.60x = 295,777.80 × 78,892.80
  4. Step 4: Simplify right side
    197,136.60x = 23,334,738,819.84
  5. Step 5: Solve for x
    x = 23,334,738,819.84/197,136.60
  6. Step 6: Final answer
    x = 118,368.37

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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.