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Finding the Fourth Proportional to 200,752.66, 277,061.81 and 120,180.16

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Solution

The fourth proportional to 200,752.66, 277,061.81 and 120,180.16 is: 165,862.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,752.66 : 277,061.81 = 120,180.16 : x
  2. Step 2: Convert to fraction form
    200,752.66/277,061.81 = 120,180.16/x
  3. Step 3: Cross multiply
    200,752.66x = 277,061.81 × 120,180.16
  4. Step 4: Simplify right side
    200,752.66x = 33,297,332,263.49
  5. Step 5: Solve for x
    x = 33,297,332,263.49/200,752.66
  6. Step 6: Final answer
    x = 165,862.47

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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.