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Finding the Fourth Proportional to 80,709.82, 121,084.17 and 25,305.82

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Solution

The fourth proportional to 80,709.82, 121,084.17 and 25,305.82 is: 37,964.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,709.82 : 121,084.17 = 25,305.82 : x
  2. Step 2: Convert to fraction form
    80,709.82/121,084.17 = 25,305.82/x
  3. Step 3: Cross multiply
    80,709.82x = 121,084.17 × 25,305.82
  4. Step 4: Simplify right side
    80,709.82x = 3,064,134,210.87
  5. Step 5: Solve for x
    x = 3,064,134,210.87/80,709.82
  6. Step 6: Final answer
    x = 37,964.83

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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.