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Finding the Fourth Proportional to 130,082.56, 194,989.92 and 51,164.80

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Solution

The fourth proportional to 130,082.56, 194,989.92 and 51,164.80 is: 76,694.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,082.56 : 194,989.92 = 51,164.80 : x
  2. Step 2: Convert to fraction form
    130,082.56/194,989.92 = 51,164.80/x
  3. Step 3: Cross multiply
    130,082.56x = 194,989.92 × 51,164.80
  4. Step 4: Simplify right side
    130,082.56x = 9,976,620,258.82
  5. Step 5: Solve for x
    x = 9,976,620,258.82/130,082.56
  6. Step 6: Final answer
    x = 76,694.53

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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.