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Finding the Fourth Proportional to 213,783.90, 294,974.96 and 127,729.97

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Solution

The fourth proportional to 213,783.90, 294,974.96 and 127,729.97 is: 176,239.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,783.90 : 294,974.96 = 127,729.97 : x
  2. Step 2: Convert to fraction form
    213,783.90/294,974.96 = 127,729.97/x
  3. Step 3: Cross multiply
    213,783.90x = 294,974.96 × 127,729.97
  4. Step 4: Simplify right side
    213,783.90x = 37,677,142,791.55
  5. Step 5: Solve for x
    x = 37,677,142,791.55/213,783.90
  6. Step 6: Final answer
    x = 176,239.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.