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Finding the Fourth Proportional to 136,371.70, 204,642.72 and 52,138.96

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Solution

The fourth proportional to 136,371.70, 204,642.72 and 52,138.96 is: 78,241.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,371.70 : 204,642.72 = 52,138.96 : x
  2. Step 2: Convert to fraction form
    136,371.70/204,642.72 = 52,138.96/x
  3. Step 3: Cross multiply
    136,371.70x = 204,642.72 × 52,138.96
  4. Step 4: Simplify right side
    136,371.70x = 10,669,858,592.37
  5. Step 5: Solve for x
    x = 10,669,858,592.37/136,371.70
  6. Step 6: Final answer
    x = 78,241.00

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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.