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Finding the Fourth Proportional to 205,603.40, 283,716.90 and 125,019.88

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Solution

The fourth proportional to 205,603.40, 283,716.90 and 125,019.88 is: 172,517.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,603.40 : 283,716.90 = 125,019.88 : x
  2. Step 2: Convert to fraction form
    205,603.40/283,716.90 = 125,019.88/x
  3. Step 3: Cross multiply
    205,603.40x = 283,716.90 × 125,019.88
  4. Step 4: Simplify right side
    205,603.40x = 35,470,252,791.97
  5. Step 5: Solve for x
    x = 35,470,252,791.97/205,603.40
  6. Step 6: Final answer
    x = 172,517.83

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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.