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Finding the Fourth Proportional to 141,959.97, 195,904.35 and 81,534.51

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Solution

The fourth proportional to 141,959.97, 195,904.35 and 81,534.51 is: 112,517.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,959.97 : 195,904.35 = 81,534.51 : x
  2. Step 2: Convert to fraction form
    141,959.97/195,904.35 = 81,534.51/x
  3. Step 3: Cross multiply
    141,959.97x = 195,904.35 × 81,534.51
  4. Step 4: Simplify right side
    141,959.97x = 15,972,965,184.12
  5. Step 5: Solve for x
    x = 15,972,965,184.12/141,959.97
  6. Step 6: Final answer
    x = 112,517.39

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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.