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Finding the Fourth Proportional to 205,318, 283,338.84 and 111,110

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Solution

The fourth proportional to 205,318, 283,338.84 and 111,110 is: 153,331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,318 : 283,338.84 = 111,110 : x
  2. Step 2: Convert to fraction form
    205,318/283,338.84 = 111,110/x
  3. Step 3: Cross multiply
    205,318x = 283,338.84 × 111,110
  4. Step 4: Simplify right side
    205,318x = 31,481,778,512.40
  5. Step 5: Solve for x
    x = 31,481,778,512.40/205,318
  6. Step 6: Final answer
    x = 153,331.80

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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.