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Finding the Fourth Proportional to 205,000.80, 307,630.80 and 120,760.80

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Solution

The fourth proportional to 205,000.80, 307,630.80 and 120,760.80 is: 181,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,000.80 : 307,630.80 = 120,760.80 : x
  2. Step 2: Convert to fraction form
    205,000.80/307,630.80 = 120,760.80/x
  3. Step 3: Cross multiply
    205,000.80x = 307,630.80 × 120,760.80
  4. Step 4: Simplify right side
    205,000.80x = 37,149,741,512.64
  5. Step 5: Solve for x
    x = 37,149,741,512.64/205,000.80
  6. Step 6: Final answer
    x = 181,217.54

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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.