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Finding the Fourth Proportional to 218,096.91, 327,197.64 and 105,645.69

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Solution

The fourth proportional to 218,096.91, 327,197.64 and 105,645.69 is: 158,493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,096.91 : 327,197.64 = 105,645.69 : x
  2. Step 2: Convert to fraction form
    218,096.91/327,197.64 = 105,645.69/x
  3. Step 3: Cross multiply
    218,096.91x = 327,197.64 × 105,645.69
  4. Step 4: Simplify right side
    218,096.91x = 34,567,020,444.17
  5. Step 5: Solve for x
    x = 34,567,020,444.17/218,096.91
  6. Step 6: Final answer
    x = 158,493.86

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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.