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Finding the Fourth Proportional to 276,083.75, 414,134.86 and 76,387.42

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Solution

The fourth proportional to 276,083.75, 414,134.86 and 76,387.42 is: 114,583.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,083.75 : 414,134.86 = 76,387.42 : x
  2. Step 2: Convert to fraction form
    276,083.75/414,134.86 = 76,387.42/x
  3. Step 3: Cross multiply
    276,083.75x = 414,134.86 × 76,387.42
  4. Step 4: Simplify right side
    276,083.75x = 31,634,692,261.16
  5. Step 5: Solve for x
    x = 31,634,692,261.16/276,083.75
  6. Step 6: Final answer
    x = 114,583.68

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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.