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Finding the Fourth Proportional to 201,228, 277,703.28 and 111,804

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Solution

The fourth proportional to 201,228, 277,703.28 and 111,804 is: 154,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,228 : 277,703.28 = 111,804 : x
  2. Step 2: Convert to fraction form
    201,228/277,703.28 = 111,804/x
  3. Step 3: Cross multiply
    201,228x = 277,703.28 × 111,804
  4. Step 4: Simplify right side
    201,228x = 31,048,337,517.12
  5. Step 5: Solve for x
    x = 31,048,337,517.12/201,228
  6. Step 6: Final answer
    x = 154,294.32

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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.