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Finding the Fourth Proportional to 213,211, 294,257.10 and 123,787

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Solution

The fourth proportional to 213,211, 294,257.10 and 123,787 is: 170,841.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,211 : 294,257.10 = 123,787 : x
  2. Step 2: Convert to fraction form
    213,211/294,257.10 = 123,787/x
  3. Step 3: Cross multiply
    213,211x = 294,257.10 × 123,787
  4. Step 4: Simplify right side
    213,211x = 36,425,203,637.70
  5. Step 5: Solve for x
    x = 36,425,203,637.70/213,211
  6. Step 6: Final answer
    x = 170,841.11

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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.