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Finding the Fourth Proportional to 213,576.80, 294,748.61 and 122,930.51

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Solution

The fourth proportional to 213,576.80, 294,748.61 and 122,930.51 is: 169,651.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,576.80 : 294,748.61 = 122,930.51 : x
  2. Step 2: Convert to fraction form
    213,576.80/294,748.61 = 122,930.51/x
  3. Step 3: Cross multiply
    213,576.80x = 294,748.61 × 122,930.51
  4. Step 4: Simplify right side
    213,576.80x = 36,233,594,860.70
  5. Step 5: Solve for x
    x = 36,233,594,860.70/213,576.80
  6. Step 6: Final answer
    x = 169,651.37

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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.