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Finding the Fourth Proportional to 27,902.70, 41,817.60 and 20,102.40

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Solution

The fourth proportional to 27,902.70, 41,817.60 and 20,102.40 is: 30,127.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902.70 : 41,817.60 = 20,102.40 : x
  2. Step 2: Convert to fraction form
    27,902.70/41,817.60 = 20,102.40/x
  3. Step 3: Cross multiply
    27,902.70x = 41,817.60 × 20,102.40
  4. Step 4: Simplify right side
    27,902.70x = 840,634,122.24
  5. Step 5: Solve for x
    x = 840,634,122.24/27,902.70
  6. Step 6: Final answer
    x = 30,127.34

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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.