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Finding the Fourth Proportional to 81,412.38, 122,106.57 and 41,414.88

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Solution

The fourth proportional to 81,412.38, 122,106.57 and 41,414.88 is: 62,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,412.38 : 122,106.57 = 41,414.88 : x
  2. Step 2: Convert to fraction form
    81,412.38/122,106.57 = 41,414.88/x
  3. Step 3: Cross multiply
    81,412.38x = 122,106.57 × 41,414.88
  4. Step 4: Simplify right side
    81,412.38x = 5,057,028,943.76
  5. Step 5: Solve for x
    x = 5,057,028,943.76/81,412.38
  6. Step 6: Final answer
    x = 62,116.22

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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.