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Finding the Fourth Proportional to 206,091.60, 308,845.80 and 126,970.80

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Solution

The fourth proportional to 206,091.60, 308,845.80 and 126,970.80 is: 190,276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,091.60 : 308,845.80 = 126,970.80 : x
  2. Step 2: Convert to fraction form
    206,091.60/308,845.80 = 126,970.80/x
  3. Step 3: Cross multiply
    206,091.60x = 308,845.80 × 126,970.80
  4. Step 4: Simplify right side
    206,091.60x = 39,214,398,302.64
  5. Step 5: Solve for x
    x = 39,214,398,302.64/206,091.60
  6. Step 6: Final answer
    x = 190,276.55

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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.