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Finding the Fourth Proportional to 81,134.80, 121,644.60 and 31,195.60

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Solution

The fourth proportional to 81,134.80, 121,644.60 and 31,195.60 is: 46,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,134.80 : 121,644.60 = 31,195.60 : x
  2. Step 2: Convert to fraction form
    81,134.80/121,644.60 = 31,195.60/x
  3. Step 3: Cross multiply
    81,134.80x = 121,644.60 × 31,195.60
  4. Step 4: Simplify right side
    81,134.80x = 3,794,776,283.76
  5. Step 5: Solve for x
    x = 3,794,776,283.76/81,134.80
  6. Step 6: Final answer
    x = 46,771.25

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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.