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Finding the Fourth Proportional to 71,769.92, 107,655.12 and 21,850.40

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Solution

The fourth proportional to 71,769.92, 107,655.12 and 21,850.40 is: 32,775.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,769.92 : 107,655.12 = 21,850.40 : x
  2. Step 2: Convert to fraction form
    71,769.92/107,655.12 = 21,850.40/x
  3. Step 3: Cross multiply
    71,769.92x = 107,655.12 × 21,850.40
  4. Step 4: Simplify right side
    71,769.92x = 2,352,307,434.05
  5. Step 5: Solve for x
    x = 2,352,307,434.05/71,769.92
  6. Step 6: Final answer
    x = 32,775.67

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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.