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Finding the Fourth Proportional to 275,111.38, 412,639.41 and 75,451.84

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Solution

The fourth proportional to 275,111.38, 412,639.41 and 75,451.84 is: 113,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,111.38 : 412,639.41 = 75,451.84 : x
  2. Step 2: Convert to fraction form
    275,111.38/412,639.41 = 75,451.84/x
  3. Step 3: Cross multiply
    275,111.38x = 412,639.41 × 75,451.84
  4. Step 4: Simplify right side
    275,111.38x = 31,134,402,741.01
  5. Step 5: Solve for x
    x = 31,134,402,741.01/275,111.38
  6. Step 6: Final answer
    x = 113,170.17

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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.