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Finding the Fourth Proportional to 213,679.86, 320,344.11 and 124,713.78

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Solution

The fourth proportional to 213,679.86, 320,344.11 and 124,713.78 is: 186,968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,679.86 : 320,344.11 = 124,713.78 : x
  2. Step 2: Convert to fraction form
    213,679.86/320,344.11 = 124,713.78/x
  3. Step 3: Cross multiply
    213,679.86x = 320,344.11 × 124,713.78
  4. Step 4: Simplify right side
    213,679.86x = 39,951,324,858.84
  5. Step 5: Solve for x
    x = 39,951,324,858.84/213,679.86
  6. Step 6: Final answer
    x = 186,968.13

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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.