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Finding the Fourth Proportional to 276,080, 414,129.21 and 76,383.68

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Solution

The fourth proportional to 276,080, 414,129.21 and 76,383.68 is: 114,578.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,080 : 414,129.21 = 76,383.68 : x
  2. Step 2: Convert to fraction form
    276,080/414,129.21 = 76,383.68/x
  3. Step 3: Cross multiply
    276,080x = 414,129.21 × 76,383.68
  4. Step 4: Simplify right side
    276,080x = 31,632,713,055.29
  5. Step 5: Solve for x
    x = 31,632,713,055.29/276,080
  6. Step 6: Final answer
    x = 114,578.07

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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.