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Finding the Fourth Proportional to 276,086.38, 414,138.80 and 76,390.06

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Solution

The fourth proportional to 276,086.38, 414,138.80 and 76,390.06 is: 114,587.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,086.38 : 414,138.80 = 76,390.06 : x
  2. Step 2: Convert to fraction form
    276,086.38/414,138.80 = 76,390.06/x
  3. Step 3: Cross multiply
    276,086.38x = 414,138.80 × 76,390.06
  4. Step 4: Simplify right side
    276,086.38x = 31,636,087,780.33
  5. Step 5: Solve for x
    x = 31,636,087,780.33/276,086.38
  6. Step 6: Final answer
    x = 114,587.64

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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.