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Finding the Fourth Proportional to 206,203.20, 309,124.80 and 79,929.60

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Solution

The fourth proportional to 206,203.20, 309,124.80 and 79,929.60 is: 119,824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,203.20 : 309,124.80 = 79,929.60 : x
  2. Step 2: Convert to fraction form
    206,203.20/309,124.80 = 79,929.60/x
  3. Step 3: Cross multiply
    206,203.20x = 309,124.80 × 79,929.60
  4. Step 4: Simplify right side
    206,203.20x = 24,708,221,614.08
  5. Step 5: Solve for x
    x = 24,708,221,614.08/206,203.20
  6. Step 6: Final answer
    x = 119,824.63

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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.