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Finding the Fourth Proportional to 187,965.20, 282,012.60 and 82,859.60

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Solution

The fourth proportional to 187,965.20, 282,012.60 and 82,859.60 is: 124,317.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,965.20 : 282,012.60 = 82,859.60 : x
  2. Step 2: Convert to fraction form
    187,965.20/282,012.60 = 82,859.60/x
  3. Step 3: Cross multiply
    187,965.20x = 282,012.60 × 82,859.60
  4. Step 4: Simplify right side
    187,965.20x = 23,367,451,230.96
  5. Step 5: Solve for x
    x = 23,367,451,230.96/187,965.20
  6. Step 6: Final answer
    x = 124,317.97

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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.