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Finding the Fourth Proportional to 81,383.60, 122,063.70 and 31,487.24

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Solution

The fourth proportional to 81,383.60, 122,063.70 and 31,487.24 is: 47,226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,383.60 : 122,063.70 = 31,487.24 : x
  2. Step 2: Convert to fraction form
    81,383.60/122,063.70 = 31,487.24/x
  3. Step 3: Cross multiply
    81,383.60x = 122,063.70 × 31,487.24
  4. Step 4: Simplify right side
    81,383.60x = 3,843,449,017.19
  5. Step 5: Solve for x
    x = 3,843,449,017.19/81,383.60
  6. Step 6: Final answer
    x = 47,226.33

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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.