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Finding the Fourth Proportional to 276,213.48, 414,325.62 and 86,669.88

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Solution

The fourth proportional to 276,213.48, 414,325.62 and 86,669.88 is: 130,006.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,213.48 : 414,325.62 = 86,669.88 : x
  2. Step 2: Convert to fraction form
    276,213.48/414,325.62 = 86,669.88/x
  3. Step 3: Cross multiply
    276,213.48x = 414,325.62 × 86,669.88
  4. Step 4: Simplify right side
    276,213.48x = 35,909,551,766.33
  5. Step 5: Solve for x
    x = 35,909,551,766.33/276,213.48
  6. Step 6: Final answer
    x = 130,006.51

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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.