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Finding the Fourth Proportional to 149,085.74, 223,629.84 and 54,383.78

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Solution

The fourth proportional to 149,085.74, 223,629.84 and 54,383.78 is: 81,576.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,085.74 : 223,629.84 = 54,383.78 : x
  2. Step 2: Convert to fraction form
    149,085.74/223,629.84 = 54,383.78/x
  3. Step 3: Cross multiply
    149,085.74x = 223,629.84 × 54,383.78
  4. Step 4: Simplify right side
    149,085.74x = 12,161,836,579.07
  5. Step 5: Solve for x
    x = 12,161,836,579.07/149,085.74
  6. Step 6: Final answer
    x = 81,576.12

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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.