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Finding the Fourth Proportional to 218,238.98, 327,438.43 and 91,911.02

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Solution

The fourth proportional to 218,238.98, 327,438.43 and 91,911.02 is: 137,900.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,238.98 : 327,438.43 = 91,911.02 : x
  2. Step 2: Convert to fraction form
    218,238.98/327,438.43 = 91,911.02/x
  3. Step 3: Cross multiply
    218,238.98x = 327,438.43 × 91,911.02
  4. Step 4: Simplify right side
    218,238.98x = 30,095,199,628.94
  5. Step 5: Solve for x
    x = 30,095,199,628.94/218,238.98
  6. Step 6: Final answer
    x = 137,900.20

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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.