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Finding the Fourth Proportional to 275,209.89, 412,767.22 and 72,808.51

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Solution

The fourth proportional to 275,209.89, 412,767.22 and 72,808.51 is: 109,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,209.89 : 412,767.22 = 72,808.51 : x
  2. Step 2: Convert to fraction form
    275,209.89/412,767.22 = 72,808.51/x
  3. Step 3: Cross multiply
    275,209.89x = 412,767.22 × 72,808.51
  4. Step 4: Simplify right side
    275,209.89x = 30,052,966,265.04
  5. Step 5: Solve for x
    x = 30,052,966,265.04/275,209.89
  6. Step 6: Final answer
    x = 109,200.17

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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.