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Finding the Fourth Proportional to 196,570.80, 294,856.20 and 84,231.90

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Solution

The fourth proportional to 196,570.80, 294,856.20 and 84,231.90 is: 126,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,570.80 : 294,856.20 = 84,231.90 : x
  2. Step 2: Convert to fraction form
    196,570.80/294,856.20 = 84,231.90/x
  3. Step 3: Cross multiply
    196,570.80x = 294,856.20 × 84,231.90
  4. Step 4: Simplify right side
    196,570.80x = 24,836,297,952.78
  5. Step 5: Solve for x
    x = 24,836,297,952.78/196,570.80
  6. Step 6: Final answer
    x = 126,347.85

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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.