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Finding the Fourth Proportional to 130,977, 196,481.97 and 51,016.77

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Solution

The fourth proportional to 130,977, 196,481.97 and 51,016.77 is: 76,531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,977 : 196,481.97 = 51,016.77 : x
  2. Step 2: Convert to fraction form
    130,977/196,481.97 = 51,016.77/x
  3. Step 3: Cross multiply
    130,977x = 196,481.97 × 51,016.77
  4. Step 4: Simplify right side
    130,977x = 10,023,875,472.64
  5. Step 5: Solve for x
    x = 10,023,875,472.64/130,977
  6. Step 6: Final answer
    x = 76,531.57

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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.