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Finding the Fourth Proportional to 267,121.56, 400,747.14 and 80,133.06

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Solution

The fourth proportional to 267,121.56, 400,747.14 and 80,133.06 is: 120,219.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,121.56 : 400,747.14 = 80,133.06 : x
  2. Step 2: Convert to fraction form
    267,121.56/400,747.14 = 80,133.06/x
  3. Step 3: Cross multiply
    267,121.56x = 400,747.14 × 80,133.06
  4. Step 4: Simplify right side
    267,121.56x = 32,113,094,614.45
  5. Step 5: Solve for x
    x = 32,113,094,614.45/267,121.56
  6. Step 6: Final answer
    x = 120,219.03

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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.