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Finding the Fourth Proportional to 200,828, 277,142.64 and 111,421.28

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Solution

The fourth proportional to 200,828, 277,142.64 and 111,421.28 is: 153,761.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,828 : 277,142.64 = 111,421.28 : x
  2. Step 2: Convert to fraction form
    200,828/277,142.64 = 111,421.28/x
  3. Step 3: Cross multiply
    200,828x = 277,142.64 × 111,421.28
  4. Step 4: Simplify right side
    200,828x = 30,879,587,691.38
  5. Step 5: Solve for x
    x = 30,879,587,691.38/200,828
  6. Step 6: Final answer
    x = 153,761.37

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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.