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Finding the Fourth Proportional to 150,740, 208,023.84 and 82,763.36

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Solution

The fourth proportional to 150,740, 208,023.84 and 82,763.36 is: 114,214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,740 : 208,023.84 = 82,763.36 : x
  2. Step 2: Convert to fraction form
    150,740/208,023.84 = 82,763.36/x
  3. Step 3: Cross multiply
    150,740x = 208,023.84 × 82,763.36
  4. Step 4: Simplify right side
    150,740x = 17,216,751,958.50
  5. Step 5: Solve for x
    x = 17,216,751,958.50/150,740
  6. Step 6: Final answer
    x = 114,214.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.