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Finding the Fourth Proportional to 275,799.75, 413,723.42 and 76,120.14

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Solution

The fourth proportional to 275,799.75, 413,723.42 and 76,120.14 is: 114,186.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,799.75 : 413,723.42 = 76,120.14 : x
  2. Step 2: Convert to fraction form
    275,799.75/413,723.42 = 76,120.14/x
  3. Step 3: Cross multiply
    275,799.75x = 413,723.42 × 76,120.14
  4. Step 4: Simplify right side
    275,799.75x = 31,492,684,271.08
  5. Step 5: Solve for x
    x = 31,492,684,271.08/275,799.75
  6. Step 6: Final answer
    x = 114,186.78

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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.