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Finding the Fourth Proportional to 200,752.75, 277,061.94 and 120,180.26

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Solution

The fourth proportional to 200,752.75, 277,061.94 and 120,180.26 is: 165,862.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,752.75 : 277,061.94 = 120,180.26 : x
  2. Step 2: Convert to fraction form
    200,752.75/277,061.94 = 120,180.26/x
  3. Step 3: Cross multiply
    200,752.75x = 277,061.94 × 120,180.26
  4. Step 4: Simplify right side
    200,752.75x = 33,297,375,457.49
  5. Step 5: Solve for x
    x = 33,297,375,457.49/200,752.75
  6. Step 6: Final answer
    x = 165,862.61

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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.