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Finding the Fourth Proportional to 189,113.67, 283,712.56 and 82,514.90

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Solution

The fourth proportional to 189,113.67, 283,712.56 and 82,514.90 is: 123,790.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,113.67 : 283,712.56 = 82,514.90 : x
  2. Step 2: Convert to fraction form
    189,113.67/283,712.56 = 82,514.90/x
  3. Step 3: Cross multiply
    189,113.67x = 283,712.56 × 82,514.90
  4. Step 4: Simplify right side
    189,113.67x = 23,410,514,020.14
  5. Step 5: Solve for x
    x = 23,410,514,020.14/189,113.67
  6. Step 6: Final answer
    x = 123,790.70

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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.