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Finding the Fourth Proportional to 189,063.63, 283,713.75 and 76,743.90

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Solution

The fourth proportional to 189,063.63, 283,713.75 and 76,743.90 is: 115,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,063.63 : 283,713.75 = 76,743.90 : x
  2. Step 2: Convert to fraction form
    189,063.63/283,713.75 = 76,743.90/x
  3. Step 3: Cross multiply
    189,063.63x = 283,713.75 × 76,743.90
  4. Step 4: Simplify right side
    189,063.63x = 21,773,299,658.63
  5. Step 5: Solve for x
    x = 21,773,299,658.63/189,063.63
  6. Step 6: Final answer
    x = 115,163.87

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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.