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Finding the Fourth Proportional to 49,769.70, 74,654.55 and 20,172.30

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Solution

The fourth proportional to 49,769.70, 74,654.55 and 20,172.30 is: 30,258.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,769.70 : 74,654.55 = 20,172.30 : x
  2. Step 2: Convert to fraction form
    49,769.70/74,654.55 = 20,172.30/x
  3. Step 3: Cross multiply
    49,769.70x = 74,654.55 × 20,172.30
  4. Step 4: Simplify right side
    49,769.70x = 1,505,953,978.97
  5. Step 5: Solve for x
    x = 1,505,953,978.97/49,769.70
  6. Step 6: Final answer
    x = 30,258.45

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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.