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Finding the Fourth Proportional to 218,477.06, 327,584.37 and 85,419.98

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Solution

The fourth proportional to 218,477.06, 327,584.37 and 85,419.98 is: 128,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,477.06 : 327,584.37 = 85,419.98 : x
  2. Step 2: Convert to fraction form
    218,477.06/327,584.37 = 85,419.98/x
  3. Step 3: Cross multiply
    218,477.06x = 327,584.37 × 85,419.98
  4. Step 4: Simplify right side
    218,477.06x = 27,982,250,333.71
  5. Step 5: Solve for x
    x = 27,982,250,333.71/218,477.06
  6. Step 6: Final answer
    x = 128,078.67

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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.