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Finding the Fourth Proportional to 188,264.49, 259,806.80 and 103,383.33

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Solution

The fourth proportional to 188,264.49, 259,806.80 and 103,383.33 is: 142,669.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,264.49 : 259,806.80 = 103,383.33 : x
  2. Step 2: Convert to fraction form
    188,264.49/259,806.80 = 103,383.33/x
  3. Step 3: Cross multiply
    188,264.49x = 259,806.80 × 103,383.33
  4. Step 4: Simplify right side
    188,264.49x = 26,859,690,324.69
  5. Step 5: Solve for x
    x = 26,859,690,324.69/188,264.49
  6. Step 6: Final answer
    x = 142,669.98

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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.