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Finding the Fourth Proportional to 81,251.30, 121,919.45 and 33,255.53

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Solution

The fourth proportional to 81,251.30, 121,919.45 and 33,255.53 is: 49,900.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,251.30 : 121,919.45 = 33,255.53 : x
  2. Step 2: Convert to fraction form
    81,251.30/121,919.45 = 33,255.53/x
  3. Step 3: Cross multiply
    81,251.30x = 121,919.45 × 33,255.53
  4. Step 4: Simplify right side
    81,251.30x = 4,054,495,927.06
  5. Step 5: Solve for x
    x = 4,054,495,927.06/81,251.30
  6. Step 6: Final answer
    x = 49,900.69

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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.