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Finding the Fourth Proportional to 129,321, 193,959.42 and 35,804.88

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Solution

The fourth proportional to 129,321, 193,959.42 and 35,804.88 is: 53,701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,321 : 193,959.42 = 35,804.88 : x
  2. Step 2: Convert to fraction form
    129,321/193,959.42 = 35,804.88/x
  3. Step 3: Cross multiply
    129,321x = 193,959.42 × 35,804.88
  4. Step 4: Simplify right side
    129,321x = 6,944,693,757.97
  5. Step 5: Solve for x
    x = 6,944,693,757.97/129,321
  6. Step 6: Final answer
    x = 53,701.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.