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Finding the Fourth Proportional to 70,205.39, 96,872.13 and 39,991.30

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Solution

The fourth proportional to 70,205.39, 96,872.13 and 39,991.30 is: 55,181.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,205.39 : 96,872.13 = 39,991.30 : x
  2. Step 2: Convert to fraction form
    70,205.39/96,872.13 = 39,991.30/x
  3. Step 3: Cross multiply
    70,205.39x = 96,872.13 × 39,991.30
  4. Step 4: Simplify right side
    70,205.39x = 3,874,042,602.72
  5. Step 5: Solve for x
    x = 3,874,042,602.72/70,205.39
  6. Step 6: Final answer
    x = 55,181.55

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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.