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Finding the Fourth Proportional to 275,208.89, 412,765.72 and 72,807.51

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Solution

The fourth proportional to 275,208.89, 412,765.72 and 72,807.51 is: 109,198.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,208.89 : 412,765.72 = 72,807.51 : x
  2. Step 2: Convert to fraction form
    275,208.89/412,765.72 = 72,807.51/x
  3. Step 3: Cross multiply
    275,208.89x = 412,765.72 × 72,807.51
  4. Step 4: Simplify right side
    275,208.89x = 30,052,443,740.14
  5. Step 5: Solve for x
    x = 30,052,443,740.14/275,208.89
  6. Step 6: Final answer
    x = 109,198.67

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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.