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Finding the Fourth Proportional to 138,374.64, 190,959.12 and 81,791.28

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Solution

The fourth proportional to 138,374.64, 190,959.12 and 81,791.28 is: 112,873.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,374.64 : 190,959.12 = 81,791.28 : x
  2. Step 2: Convert to fraction form
    138,374.64/190,959.12 = 81,791.28/x
  3. Step 3: Cross multiply
    138,374.64x = 190,959.12 × 81,791.28
  4. Step 4: Simplify right side
    138,374.64x = 15,618,790,852.47
  5. Step 5: Solve for x
    x = 15,618,790,852.47/138,374.64
  6. Step 6: Final answer
    x = 112,873.22

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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.