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Finding the Fourth Proportional to 276,211.92, 414,335.40 and 86,679.76

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Solution

The fourth proportional to 276,211.92, 414,335.40 and 86,679.76 is: 130,025.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,211.92 : 414,335.40 = 86,679.76 : x
  2. Step 2: Convert to fraction form
    276,211.92/414,335.40 = 86,679.76/x
  3. Step 3: Cross multiply
    276,211.92x = 414,335.40 × 86,679.76
  4. Step 4: Simplify right side
    276,211.92x = 35,914,493,633.94
  5. Step 5: Solve for x
    x = 35,914,493,633.94/276,211.92
  6. Step 6: Final answer
    x = 130,025.14

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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.