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Finding the Fourth Proportional to 133,735, 200,490.66 and 54,905.80

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Solution

The fourth proportional to 133,735, 200,490.66 and 54,905.80 is: 82,312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,735 : 200,490.66 = 54,905.80 : x
  2. Step 2: Convert to fraction form
    133,735/200,490.66 = 54,905.80/x
  3. Step 3: Cross multiply
    133,735x = 200,490.66 × 54,905.80
  4. Step 4: Simplify right side
    133,735x = 11,008,100,079.83
  5. Step 5: Solve for x
    x = 11,008,100,079.83/133,735
  6. Step 6: Final answer
    x = 82,312.78

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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.