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Finding the Fourth Proportional to 213,906.69, 295,222.12 and 123,245.21

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Solution

The fourth proportional to 213,906.69, 295,222.12 and 123,245.21 is: 170,096.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,906.69 : 295,222.12 = 123,245.21 : x
  2. Step 2: Convert to fraction form
    213,906.69/295,222.12 = 123,245.21/x
  3. Step 3: Cross multiply
    213,906.69x = 295,222.12 × 123,245.21
  4. Step 4: Simplify right side
    213,906.69x = 36,384,712,605.99
  5. Step 5: Solve for x
    x = 36,384,712,605.99/213,906.69
  6. Step 6: Final answer
    x = 170,096.19

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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.