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Finding the Fourth Proportional to 215,180.92, 322,770.83 and 65,420.56

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Solution

The fourth proportional to 215,180.92, 322,770.83 and 65,420.56 is: 98,130.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,180.92 : 322,770.83 = 65,420.56 : x
  2. Step 2: Convert to fraction form
    215,180.92/322,770.83 = 65,420.56/x
  3. Step 3: Cross multiply
    215,180.92x = 322,770.83 × 65,420.56
  4. Step 4: Simplify right side
    215,180.92x = 21,115,846,836.41
  5. Step 5: Solve for x
    x = 21,115,846,836.41/215,180.92
  6. Step 6: Final answer
    x = 98,130.67

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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.