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Finding the Fourth Proportional to 55,429.92, 83,163.96 and 30,438

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Solution

The fourth proportional to 55,429.92, 83,163.96 and 30,438 is: 45,667.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,429.92 : 83,163.96 = 30,438 : x
  2. Step 2: Convert to fraction form
    55,429.92/83,163.96 = 30,438/x
  3. Step 3: Cross multiply
    55,429.92x = 83,163.96 × 30,438
  4. Step 4: Simplify right side
    55,429.92x = 2,531,344,614.48
  5. Step 5: Solve for x
    x = 2,531,344,614.48/55,429.92
  6. Step 6: Final answer
    x = 45,667.48

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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.