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Finding the Fourth Proportional to 81,717.77, 122,584.62 and 31,801.93

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Solution

The fourth proportional to 81,717.77, 122,584.62 and 31,801.93 is: 47,705.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,717.77 : 122,584.62 = 31,801.93 : x
  2. Step 2: Convert to fraction form
    81,717.77/122,584.62 = 31,801.93/x
  3. Step 3: Cross multiply
    81,717.77x = 122,584.62 × 31,801.93
  4. Step 4: Simplify right side
    81,717.77x = 3,898,427,317.11
  5. Step 5: Solve for x
    x = 3,898,427,317.11/81,717.77
  6. Step 6: Final answer
    x = 47,705.99

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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.