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Finding the Fourth Proportional to 195,428.40, 293,113.80 and 55,201.20

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Solution

The fourth proportional to 195,428.40, 293,113.80 and 55,201.20 is: 82,793.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,428.40 : 293,113.80 = 55,201.20 : x
  2. Step 2: Convert to fraction form
    195,428.40/293,113.80 = 55,201.20/x
  3. Step 3: Cross multiply
    195,428.40x = 293,113.80 × 55,201.20
  4. Step 4: Simplify right side
    195,428.40x = 16,180,233,496.56
  5. Step 5: Solve for x
    x = 16,180,233,496.56/195,428.40
  6. Step 6: Final answer
    x = 82,793.67

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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.