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Finding the Fourth Proportional to 81,783.39, 122,617.68 and 31,821.39

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Solution

The fourth proportional to 81,783.39, 122,617.68 and 31,821.39 is: 47,709.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,783.39 : 122,617.68 = 31,821.39 : x
  2. Step 2: Convert to fraction form
    81,783.39/122,617.68 = 31,821.39/x
  3. Step 3: Cross multiply
    81,783.39x = 122,617.68 × 31,821.39
  4. Step 4: Simplify right side
    81,783.39x = 3,901,865,016.18
  5. Step 5: Solve for x
    x = 3,901,865,016.18/81,783.39
  6. Step 6: Final answer
    x = 47,709.75

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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.