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Finding the Fourth Proportional to 133,203.78, 199,633.43 and 99,660.66

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Solution

The fourth proportional to 133,203.78, 199,633.43 and 99,660.66 is: 149,362.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,203.78 : 199,633.43 = 99,660.66 : x
  2. Step 2: Convert to fraction form
    133,203.78/199,633.43 = 99,660.66/x
  3. Step 3: Cross multiply
    133,203.78x = 199,633.43 × 99,660.66
  4. Step 4: Simplify right side
    133,203.78x = 19,895,598,893.56
  5. Step 5: Solve for x
    x = 19,895,598,893.56/133,203.78
  6. Step 6: Final answer
    x = 149,362.12

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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.