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Finding the Fourth Proportional to 218,535.88, 327,832.52 and 76,383.61

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Solution

The fourth proportional to 218,535.88, 327,832.52 and 76,383.61 is: 114,585.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,535.88 : 327,832.52 = 76,383.61 : x
  2. Step 2: Convert to fraction form
    218,535.88/327,832.52 = 76,383.61/x
  3. Step 3: Cross multiply
    218,535.88x = 327,832.52 × 76,383.61
  4. Step 4: Simplify right side
    218,535.88x = 25,041,031,353.00
  5. Step 5: Solve for x
    x = 25,041,031,353.00/218,535.88
  6. Step 6: Final answer
    x = 114,585.45

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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.