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Finding the Fourth Proportional to 149,016.83, 205,644.19 and 81,034.54

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Solution

The fourth proportional to 149,016.83, 205,644.19 and 81,034.54 is: 111,828.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,016.83 : 205,644.19 = 81,034.54 : x
  2. Step 2: Convert to fraction form
    149,016.83/205,644.19 = 81,034.54/x
  3. Step 3: Cross multiply
    149,016.83x = 205,644.19 × 81,034.54
  4. Step 4: Simplify right side
    149,016.83x = 16,664,283,160.22
  5. Step 5: Solve for x
    x = 16,664,283,160.22/149,016.83
  6. Step 6: Final answer
    x = 111,828.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.