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Finding the Fourth Proportional to 259,595.70, 389,405.70 and 82,116.60

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Solution

The fourth proportional to 259,595.70, 389,405.70 and 82,116.60 is: 123,178.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,595.70 : 389,405.70 = 82,116.60 : x
  2. Step 2: Convert to fraction form
    259,595.70/389,405.70 = 82,116.60/x
  3. Step 3: Cross multiply
    259,595.70x = 389,405.70 × 82,116.60
  4. Step 4: Simplify right side
    259,595.70x = 31,976,672,104.62
  5. Step 5: Solve for x
    x = 31,976,672,104.62/259,595.70
  6. Step 6: Final answer
    x = 123,178.74

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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.