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Finding the Fourth Proportional to 133,204.78, 199,634.92 and 99,661.66

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Solution

The fourth proportional to 133,204.78, 199,634.92 and 99,661.66 is: 149,363.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,204.78 : 199,634.92 = 99,661.66 : x
  2. Step 2: Convert to fraction form
    133,204.78/199,634.92 = 99,661.66/x
  3. Step 3: Cross multiply
    133,204.78x = 199,634.92 × 99,661.66
  4. Step 4: Simplify right side
    133,204.78x = 19,895,947,521.17
  5. Step 5: Solve for x
    x = 19,895,947,521.17/133,204.78
  6. Step 6: Final answer
    x = 149,363.62

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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.