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Finding the Fourth Proportional to 80,107.64, 120,179.67 and 42,647.97

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Solution

The fourth proportional to 80,107.64, 120,179.67 and 42,647.97 is: 63,981.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,107.64 : 120,179.67 = 42,647.97 : x
  2. Step 2: Convert to fraction form
    80,107.64/120,179.67 = 42,647.97/x
  3. Step 3: Cross multiply
    80,107.64x = 120,179.67 × 42,647.97
  4. Step 4: Simplify right side
    80,107.64x = 5,125,418,960.77
  5. Step 5: Solve for x
    x = 5,125,418,960.77/80,107.64
  6. Step 6: Final answer
    x = 63,981.65

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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.