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Finding the Fourth Proportional to 81,082.92, 121,624.82 and 53,179.68

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Solution

The fourth proportional to 81,082.92, 121,624.82 and 53,179.68 is: 79,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,082.92 : 121,624.82 = 53,179.68 : x
  2. Step 2: Convert to fraction form
    81,082.92/121,624.82 = 53,179.68/x
  3. Step 3: Cross multiply
    81,082.92x = 121,624.82 × 53,179.68
  4. Step 4: Simplify right side
    81,082.92x = 6,467,968,741.76
  5. Step 5: Solve for x
    x = 6,467,968,741.76/81,082.92
  6. Step 6: Final answer
    x = 79,769.81

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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.