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Finding the Fourth Proportional to 276,203.92, 414,311.40 and 86,660.28

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Solution

The fourth proportional to 276,203.92, 414,311.40 and 86,660.28 is: 129,992.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,203.92 : 414,311.40 = 86,660.28 : x
  2. Step 2: Convert to fraction form
    276,203.92/414,311.40 = 86,660.28/x
  3. Step 3: Cross multiply
    276,203.92x = 414,311.40 × 86,660.28
  4. Step 4: Simplify right side
    276,203.92x = 35,904,341,931.19
  5. Step 5: Solve for x
    x = 35,904,341,931.19/276,203.92
  6. Step 6: Final answer
    x = 129,992.15

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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.