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Finding the Fourth Proportional to 81,867, 122,800.50 and 32,653.56

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Solution

The fourth proportional to 81,867, 122,800.50 and 32,653.56 is: 48,980.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,867 : 122,800.50 = 32,653.56 : x
  2. Step 2: Convert to fraction form
    81,867/122,800.50 = 32,653.56/x
  3. Step 3: Cross multiply
    81,867x = 122,800.50 × 32,653.56
  4. Step 4: Simplify right side
    81,867x = 4,009,873,494.78
  5. Step 5: Solve for x
    x = 4,009,873,494.78/81,867
  6. Step 6: Final answer
    x = 48,980.34

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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.