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Finding the Fourth Proportional to 85,105.62, 127,659.11 and 31,809.65

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Solution

The fourth proportional to 85,105.62, 127,659.11 and 31,809.65 is: 47,714.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,105.62 : 127,659.11 = 31,809.65 : x
  2. Step 2: Convert to fraction form
    85,105.62/127,659.11 = 31,809.65/x
  3. Step 3: Cross multiply
    85,105.62x = 127,659.11 × 31,809.65
  4. Step 4: Simplify right side
    85,105.62x = 4,060,790,811.07
  5. Step 5: Solve for x
    x = 4,060,790,811.07/85,105.62
  6. Step 6: Final answer
    x = 47,714.72

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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.