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Finding the Fourth Proportional to 81,833.54, 122,486.31 and 42,336.26

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Solution

The fourth proportional to 81,833.54, 122,486.31 and 42,336.26 is: 63,367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,833.54 : 122,486.31 = 42,336.26 : x
  2. Step 2: Convert to fraction form
    81,833.54/122,486.31 = 42,336.26/x
  3. Step 3: Cross multiply
    81,833.54x = 122,486.31 × 42,336.26
  4. Step 4: Simplify right side
    81,833.54x = 5,185,612,266.60
  5. Step 5: Solve for x
    x = 5,185,612,266.60/81,833.54
  6. Step 6: Final answer
    x = 63,367.81

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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.