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Finding the Fourth Proportional to 275,186.12, 412,734.89 and 75,460.16

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Solution

The fourth proportional to 275,186.12, 412,734.89 and 75,460.16 is: 113,178.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,186.12 : 412,734.89 = 75,460.16 : x
  2. Step 2: Convert to fraction form
    275,186.12/412,734.89 = 75,460.16/x
  3. Step 3: Cross multiply
    275,186.12x = 412,734.89 × 75,460.16
  4. Step 4: Simplify right side
    275,186.12x = 31,145,038,396.01
  5. Step 5: Solve for x
    x = 31,145,038,396.01/275,186.12
  6. Step 6: Final answer
    x = 113,178.09

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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.