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Finding the Fourth Proportional to 81,678.33, 122,485.77 and 31,751.82

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Solution

The fourth proportional to 81,678.33, 122,485.77 and 31,751.82 is: 47,615.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,678.33 : 122,485.77 = 31,751.82 : x
  2. Step 2: Convert to fraction form
    81,678.33/122,485.77 = 31,751.82/x
  3. Step 3: Cross multiply
    81,678.33x = 122,485.77 × 31,751.82
  4. Step 4: Simplify right side
    81,678.33x = 3,889,146,121.60
  5. Step 5: Solve for x
    x = 3,889,146,121.60/81,678.33
  6. Step 6: Final answer
    x = 47,615.40

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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.