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Finding the Fourth Proportional to 196,230.80, 294,346.20 and 102,765.20

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Solution

The fourth proportional to 196,230.80, 294,346.20 and 102,765.20 is: 154,147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,230.80 : 294,346.20 = 102,765.20 : x
  2. Step 2: Convert to fraction form
    196,230.80/294,346.20 = 102,765.20/x
  3. Step 3: Cross multiply
    196,230.80x = 294,346.20 × 102,765.20
  4. Step 4: Simplify right side
    196,230.80x = 30,248,546,112.24
  5. Step 5: Solve for x
    x = 30,248,546,112.24/196,230.80
  6. Step 6: Final answer
    x = 154,147.80

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1.5x scale

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.