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Finding the Fourth Proportional to 206,200.80, 308,782.80 and 135,698.40

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Solution

The fourth proportional to 206,200.80, 308,782.80 and 135,698.40 is: 203,206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,200.80 : 308,782.80 = 135,698.40 : x
  2. Step 2: Convert to fraction form
    206,200.80/308,782.80 = 135,698.40/x
  3. Step 3: Cross multiply
    206,200.80x = 308,782.80 × 135,698.40
  4. Step 4: Simplify right side
    206,200.80x = 41,901,331,907.52
  5. Step 5: Solve for x
    x = 41,901,331,907.52/206,200.80
  6. Step 6: Final answer
    x = 203,206.45

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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.