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Finding the Fourth Proportional to 213,549.21, 320,517.86 and 113,794.65

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Solution

The fourth proportional to 213,549.21, 320,517.86 and 113,794.65 is: 170,795.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,549.21 : 320,517.86 = 113,794.65 : x
  2. Step 2: Convert to fraction form
    213,549.21/320,517.86 = 113,794.65/x
  3. Step 3: Cross multiply
    213,549.21x = 320,517.86 × 113,794.65
  4. Step 4: Simplify right side
    213,549.21x = 36,473,217,128.48
  5. Step 5: Solve for x
    x = 36,473,217,128.48/213,549.21
  6. Step 6: Final answer
    x = 170,795.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.