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Finding the Fourth Proportional to 108,715.20, 162,919.20 and 80,414.40

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Solution

The fourth proportional to 108,715.20, 162,919.20 and 80,414.40 is: 120,507.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,715.20 : 162,919.20 = 80,414.40 : x
  2. Step 2: Convert to fraction form
    108,715.20/162,919.20 = 80,414.40/x
  3. Step 3: Cross multiply
    108,715.20x = 162,919.20 × 80,414.40
  4. Step 4: Simplify right side
    108,715.20x = 13,101,049,716.48
  5. Step 5: Solve for x
    x = 13,101,049,716.48/108,715.20
  6. Step 6: Final answer
    x = 120,507.99

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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.