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Finding the Fourth Proportional to 138,326.24, 190,978.49 and 112,893.36

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Solution

The fourth proportional to 138,326.24, 190,978.49 and 112,893.36 is: 155,864.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,326.24 : 190,978.49 = 112,893.36 : x
  2. Step 2: Convert to fraction form
    138,326.24/190,978.49 = 112,893.36/x
  3. Step 3: Cross multiply
    138,326.24x = 190,978.49 × 112,893.36
  4. Step 4: Simplify right side
    138,326.24x = 21,560,202,859.36
  5. Step 5: Solve for x
    x = 21,560,202,859.36/138,326.24
  6. Step 6: Final answer
    x = 155,864.89

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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.