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Finding the Fourth Proportional to 381,053.68, 571,580.77 and 96,765.55

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Solution

The fourth proportional to 381,053.68, 571,580.77 and 96,765.55 is: 145,148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,053.68 : 571,580.77 = 96,765.55 : x
  2. Step 2: Convert to fraction form
    381,053.68/571,580.77 = 96,765.55/x
  3. Step 3: Cross multiply
    381,053.68x = 571,580.77 × 96,765.55
  4. Step 4: Simplify right side
    381,053.68x = 55,309,324,720.57
  5. Step 5: Solve for x
    x = 55,309,324,720.57/381,053.68
  6. Step 6: Final answer
    x = 145,148.38

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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.