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Finding the Fourth Proportional to 218,220.81, 327,329.04 and 76,065.81

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Solution

The fourth proportional to 218,220.81, 327,329.04 and 76,065.81 is: 114,097.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,220.81 : 327,329.04 = 76,065.81 : x
  2. Step 2: Convert to fraction form
    218,220.81/327,329.04 = 76,065.81/x
  3. Step 3: Cross multiply
    218,220.81x = 327,329.04 × 76,065.81
  4. Step 4: Simplify right side
    218,220.81x = 24,898,548,564.12
  5. Step 5: Solve for x
    x = 24,898,548,564.12/218,220.81
  6. Step 6: Final answer
    x = 114,097.96

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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.