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Finding the Fourth Proportional to 276,098.20, 414,147.30 and 126,507.40

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Solution

The fourth proportional to 276,098.20, 414,147.30 and 126,507.40 is: 189,761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,098.20 : 414,147.30 = 126,507.40 : x
  2. Step 2: Convert to fraction form
    276,098.20/414,147.30 = 126,507.40/x
  3. Step 3: Cross multiply
    276,098.20x = 414,147.30 × 126,507.40
  4. Step 4: Simplify right side
    276,098.20x = 52,392,698,140.02
  5. Step 5: Solve for x
    x = 52,392,698,140.02/276,098.20
  6. Step 6: Final answer
    x = 189,761.10

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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.