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Finding the Fourth Proportional to 126,680.78, 190,076.78 and 47,776.55

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Solution

The fourth proportional to 126,680.78, 190,076.78 and 47,776.55 is: 71,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,680.78 : 190,076.78 = 47,776.55 : x
  2. Step 2: Convert to fraction form
    126,680.78/190,076.78 = 47,776.55/x
  3. Step 3: Cross multiply
    126,680.78x = 190,076.78 × 47,776.55
  4. Step 4: Simplify right side
    126,680.78x = 9,081,213,456.28
  5. Step 5: Solve for x
    x = 9,081,213,456.28/126,680.78
  6. Step 6: Final answer
    x = 71,685.80

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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.