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Finding the Fourth Proportional to 81,705.66, 112,766.09 and 49,892.91

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Solution

The fourth proportional to 81,705.66, 112,766.09 and 49,892.91 is: 68,859.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,705.66 : 112,766.09 = 49,892.91 : x
  2. Step 2: Convert to fraction form
    81,705.66/112,766.09 = 49,892.91/x
  3. Step 3: Cross multiply
    81,705.66x = 112,766.09 × 49,892.91
  4. Step 4: Simplify right side
    81,705.66x = 5,626,228,129.96
  5. Step 5: Solve for x
    x = 5,626,228,129.96/81,705.66
  6. Step 6: Final answer
    x = 68,859.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.