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Finding the Fourth Proportional to 133,428.80, 200,142.08 and 54,487.66

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Solution

The fourth proportional to 133,428.80, 200,142.08 and 54,487.66 is: 81,731.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,428.80 : 200,142.08 = 54,487.66 : x
  2. Step 2: Convert to fraction form
    133,428.80/200,142.08 = 54,487.66/x
  3. Step 3: Cross multiply
    133,428.80x = 200,142.08 × 54,487.66
  4. Step 4: Simplify right side
    133,428.80x = 10,905,273,606.73
  5. Step 5: Solve for x
    x = 10,905,273,606.73/133,428.80
  6. Step 6: Final answer
    x = 81,731.03

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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.