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Finding the Fourth Proportional to 381,196.80, 571,791.90 and 96,888.12

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Solution

The fourth proportional to 381,196.80, 571,791.90 and 96,888.12 is: 145,331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,196.80 : 571,791.90 = 96,888.12 : x
  2. Step 2: Convert to fraction form
    381,196.80/571,791.90 = 96,888.12/x
  3. Step 3: Cross multiply
    381,196.80x = 571,791.90 × 96,888.12
  4. Step 4: Simplify right side
    381,196.80x = 55,399,842,222.23
  5. Step 5: Solve for x
    x = 55,399,842,222.23/381,196.80
  6. Step 6: Final answer
    x = 145,331.34

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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.