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Finding the Fourth Proportional to 133,646.49, 200,469.74 and 53,720.82

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Solution

The fourth proportional to 133,646.49, 200,469.74 and 53,720.82 is: 80,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,646.49 : 200,469.74 = 53,720.82 : x
  2. Step 2: Convert to fraction form
    133,646.49/200,469.74 = 53,720.82/x
  3. Step 3: Cross multiply
    133,646.49x = 200,469.74 × 53,720.82
  4. Step 4: Simplify right side
    133,646.49x = 10,769,398,549.38
  5. Step 5: Solve for x
    x = 10,769,398,549.38/133,646.49
  6. Step 6: Final answer
    x = 80,581.23

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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.