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Finding the Fourth Proportional to 218,638.35, 327,658.19 and 111,798.86

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Solution

The fourth proportional to 218,638.35, 327,658.19 and 111,798.86 is: 167,545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,638.35 : 327,658.19 = 111,798.86 : x
  2. Step 2: Convert to fraction form
    218,638.35/327,658.19 = 111,798.86/x
  3. Step 3: Cross multiply
    218,638.35x = 327,658.19 × 111,798.86
  4. Step 4: Simplify right side
    218,638.35x = 36,631,809,914.38
  5. Step 5: Solve for x
    x = 36,631,809,914.38/218,638.35
  6. Step 6: Final answer
    x = 167,545.22

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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.