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Finding the Fourth Proportional to 49,740, 74,630.88 and 20,178.96

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Solution

The fourth proportional to 49,740, 74,630.88 and 20,178.96 is: 30,276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,740 : 74,630.88 = 20,178.96 : x
  2. Step 2: Convert to fraction form
    49,740/74,630.88 = 20,178.96/x
  3. Step 3: Cross multiply
    49,740x = 74,630.88 × 20,178.96
  4. Step 4: Simplify right side
    49,740x = 1,505,973,542.28
  5. Step 5: Solve for x
    x = 1,505,973,542.28/49,740
  6. Step 6: Final answer
    x = 30,276.91

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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.