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Finding the Fourth Proportional to 218,292.81, 327,493.71 and 76,140.12

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Solution

The fourth proportional to 218,292.81, 327,493.71 and 76,140.12 is: 114,229.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,292.81 : 327,493.71 = 76,140.12 : x
  2. Step 2: Convert to fraction form
    218,292.81/327,493.71 = 76,140.12/x
  3. Step 3: Cross multiply
    218,292.81x = 327,493.71 × 76,140.12
  4. Step 4: Simplify right side
    218,292.81x = 24,935,410,378.65
  5. Step 5: Solve for x
    x = 24,935,410,378.65/218,292.81
  6. Step 6: Final answer
    x = 114,229.19

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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.