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Finding the Fourth Proportional to 45,419.80, 68,102.70 and 27,902.20

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Solution

The fourth proportional to 45,419.80, 68,102.70 and 27,902.20 is: 41,836.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,419.80 : 68,102.70 = 27,902.20 : x
  2. Step 2: Convert to fraction form
    45,419.80/68,102.70 = 27,902.20/x
  3. Step 3: Cross multiply
    45,419.80x = 68,102.70 × 27,902.20
  4. Step 4: Simplify right side
    45,419.80x = 1,900,215,155.94
  5. Step 5: Solve for x
    x = 1,900,215,155.94/45,419.80
  6. Step 6: Final answer
    x = 41,836.71

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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.