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Finding the Fourth Proportional to 276,037.72, 414,056.72 and 86,512.85

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Solution

The fourth proportional to 276,037.72, 414,056.72 and 86,512.85 is: 129,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,037.72 : 414,056.72 = 86,512.85 : x
  2. Step 2: Convert to fraction form
    276,037.72/414,056.72 = 86,512.85/x
  3. Step 3: Cross multiply
    276,037.72x = 414,056.72 × 86,512.85
  4. Step 4: Simplify right side
    276,037.72x = 35,821,226,607.56
  5. Step 5: Solve for x
    x = 35,821,226,607.56/276,037.72
  6. Step 6: Final answer
    x = 129,769.32

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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.