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Finding the Fourth Proportional to 133,487.97, 200,232 and 39,993.72

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Solution

The fourth proportional to 133,487.97, 200,232 and 39,993.72 is: 59,990.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,487.97 : 200,232 = 39,993.72 : x
  2. Step 2: Convert to fraction form
    133,487.97/200,232 = 39,993.72/x
  3. Step 3: Cross multiply
    133,487.97x = 200,232 × 39,993.72
  4. Step 4: Simplify right side
    133,487.97x = 8,008,022,543.04
  5. Step 5: Solve for x
    x = 8,008,022,543.04/133,487.97
  6. Step 6: Final answer
    x = 59,990.59

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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.