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Finding the Fourth Proportional to 218,205, 327,308.04 and 70,461

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Solution

The fourth proportional to 218,205, 327,308.04 and 70,461 is: 105,691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,205 : 327,308.04 = 70,461 : x
  2. Step 2: Convert to fraction form
    218,205/327,308.04 = 70,461/x
  3. Step 3: Cross multiply
    218,205x = 327,308.04 × 70,461
  4. Step 4: Simplify right side
    218,205x = 23,062,451,806.44
  5. Step 5: Solve for x
    x = 23,062,451,806.44/218,205
  6. Step 6: Final answer
    x = 105,691.67

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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.