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Finding the Fourth Proportional to 81,863.70, 122,832.81 and 39,721.02

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Solution

The fourth proportional to 81,863.70, 122,832.81 and 39,721.02 is: 59,599.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,863.70 : 122,832.81 = 39,721.02 : x
  2. Step 2: Convert to fraction form
    81,863.70/122,832.81 = 39,721.02/x
  3. Step 3: Cross multiply
    81,863.70x = 122,832.81 × 39,721.02
  4. Step 4: Simplify right side
    81,863.70x = 4,879,044,502.67
  5. Step 5: Solve for x
    x = 4,879,044,502.67/81,863.70
  6. Step 6: Final answer
    x = 59,599.61

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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.