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Finding the Fourth Proportional to 213,606.72, 294,768.42 and 122,971.97

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Solution

The fourth proportional to 213,606.72, 294,768.42 and 122,971.97 is: 169,696.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,606.72 : 294,768.42 = 122,971.97 : x
  2. Step 2: Convert to fraction form
    213,606.72/294,768.42 = 122,971.97/x
  3. Step 3: Cross multiply
    213,606.72x = 294,768.42 × 122,971.97
  4. Step 4: Simplify right side
    213,606.72x = 36,248,253,576.96
  5. Step 5: Solve for x
    x = 36,248,253,576.96/213,606.72
  6. Step 6: Final answer
    x = 169,696.22

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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.