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Finding the Fourth Proportional to 196,873.60, 295,310.40 and 78,563.20

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Solution

The fourth proportional to 196,873.60, 295,310.40 and 78,563.20 is: 117,844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,873.60 : 295,310.40 = 78,563.20 : x
  2. Step 2: Convert to fraction form
    196,873.60/295,310.40 = 78,563.20/x
  3. Step 3: Cross multiply
    196,873.60x = 295,310.40 × 78,563.20
  4. Step 4: Simplify right side
    196,873.60x = 23,200,530,017.28
  5. Step 5: Solve for x
    x = 23,200,530,017.28/196,873.60
  6. Step 6: Final answer
    x = 117,844.80

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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.