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Finding the Fourth Proportional to 276,083.37, 414,134.30 and 76,387.05

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Solution

The fourth proportional to 276,083.37, 414,134.30 and 76,387.05 is: 114,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,083.37 : 414,134.30 = 76,387.05 : x
  2. Step 2: Convert to fraction form
    276,083.37/414,134.30 = 76,387.05/x
  3. Step 3: Cross multiply
    276,083.37x = 414,134.30 × 76,387.05
  4. Step 4: Simplify right side
    276,083.37x = 31,634,497,671.78
  5. Step 5: Solve for x
    x = 31,634,497,671.78/276,083.37
  6. Step 6: Final answer
    x = 114,583.13

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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.