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Finding the Fourth Proportional to 81,364.90, 122,066.84 and 33,953.61

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Solution

The fourth proportional to 81,364.90, 122,066.84 and 33,953.61 is: 50,938.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,364.90 : 122,066.84 = 33,953.61 : x
  2. Step 2: Convert to fraction form
    81,364.90/122,066.84 = 33,953.61/x
  3. Step 3: Cross multiply
    81,364.90x = 122,066.84 × 33,953.61
  4. Step 4: Simplify right side
    81,364.90x = 4,144,609,879.29
  5. Step 5: Solve for x
    x = 4,144,609,879.29/81,364.90
  6. Step 6: Final answer
    x = 50,938.55

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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.