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Finding the Fourth Proportional to 200,862.43, 277,169.97 and 120,287.88

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Solution

The fourth proportional to 200,862.43, 277,169.97 and 120,287.88 is: 165,985.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,862.43 : 277,169.97 = 120,287.88 : x
  2. Step 2: Convert to fraction form
    200,862.43/277,169.97 = 120,287.88/x
  3. Step 3: Cross multiply
    200,862.43x = 277,169.97 × 120,287.88
  4. Step 4: Simplify right side
    200,862.43x = 33,340,188,090.96
  5. Step 5: Solve for x
    x = 33,340,188,090.96/200,862.43
  6. Step 6: Final answer
    x = 165,985.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.