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Finding the Fourth Proportional to 108,464.30, 162,523.65 and 80,470.70

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Solution

The fourth proportional to 108,464.30, 162,523.65 and 80,470.70 is: 120,577.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,464.30 : 162,523.65 = 80,470.70 : x
  2. Step 2: Convert to fraction form
    108,464.30/162,523.65 = 80,470.70/x
  3. Step 3: Cross multiply
    108,464.30x = 162,523.65 × 80,470.70
  4. Step 4: Simplify right side
    108,464.30x = 13,078,391,882.06
  5. Step 5: Solve for x
    x = 13,078,391,882.06/108,464.30
  6. Step 6: Final answer
    x = 120,577.85

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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.