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Finding the Fourth Proportional to 276,208.92, 414,318.96 and 86,665.32

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Solution

The fourth proportional to 276,208.92, 414,318.96 and 86,665.32 is: 129,999.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,208.92 : 414,318.96 = 86,665.32 : x
  2. Step 2: Convert to fraction form
    276,208.92/414,318.96 = 86,665.32/x
  3. Step 3: Cross multiply
    276,208.92x = 414,318.96 × 86,665.32
  4. Step 4: Simplify right side
    276,208.92x = 35,907,085,250.47
  5. Step 5: Solve for x
    x = 35,907,085,250.47/276,208.92
  6. Step 6: Final answer
    x = 129,999.73

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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.