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Finding the Fourth Proportional to 218,142.88, 327,389.32 and 112,991.92

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Solution

The fourth proportional to 218,142.88, 327,389.32 and 112,991.92 is: 169,578.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,142.88 : 327,389.32 = 112,991.92 : x
  2. Step 2: Convert to fraction form
    218,142.88/327,389.32 = 112,991.92/x
  3. Step 3: Cross multiply
    218,142.88x = 327,389.32 × 112,991.92
  4. Step 4: Simplify right side
    218,142.88x = 36,992,347,854.29
  5. Step 5: Solve for x
    x = 36,992,347,854.29/218,142.88
  6. Step 6: Final answer
    x = 169,578.53

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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.