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Finding the Fourth Proportional to 200,742.70, 277,023.64 and 114,728

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Solution

The fourth proportional to 200,742.70, 277,023.64 and 114,728 is: 158,323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,742.70 : 277,023.64 = 114,728 : x
  2. Step 2: Convert to fraction form
    200,742.70/277,023.64 = 114,728/x
  3. Step 3: Cross multiply
    200,742.70x = 277,023.64 × 114,728
  4. Step 4: Simplify right side
    200,742.70x = 31,782,368,169.92
  5. Step 5: Solve for x
    x = 31,782,368,169.92/200,742.70
  6. Step 6: Final answer
    x = 158,323.91

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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.