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Finding the Fourth Proportional to 259,555.20, 389,259.90 and 82,116.60

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Solution

The fourth proportional to 259,555.20, 389,259.90 and 82,116.60 is: 123,151.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,555.20 : 389,259.90 = 82,116.60 : x
  2. Step 2: Convert to fraction form
    259,555.20/389,259.90 = 82,116.60/x
  3. Step 3: Cross multiply
    259,555.20x = 389,259.90 × 82,116.60
  4. Step 4: Simplify right side
    259,555.20x = 31,964,699,504.34
  5. Step 5: Solve for x
    x = 31,964,699,504.34/259,555.20
  6. Step 6: Final answer
    x = 123,151.84

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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.