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Finding the Fourth Proportional to 81,965.25, 122,865.80 and 31,976.57

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Solution

The fourth proportional to 81,965.25, 122,865.80 and 31,976.57 is: 47,932.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,965.25 : 122,865.80 = 31,976.57 : x
  2. Step 2: Convert to fraction form
    81,965.25/122,865.80 = 31,976.57/x
  3. Step 3: Cross multiply
    81,965.25x = 122,865.80 × 31,976.57
  4. Step 4: Simplify right side
    81,965.25x = 3,928,827,001.59
  5. Step 5: Solve for x
    x = 3,928,827,001.59/81,965.25
  6. Step 6: Final answer
    x = 47,932.84

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1.5x scale

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.