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Finding the Fourth Proportional to 101,461.25, 140,072.83 and 61,185.21

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Solution

The fourth proportional to 101,461.25, 140,072.83 and 61,185.21 is: 84,469.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,461.25 : 140,072.83 = 61,185.21 : x
  2. Step 2: Convert to fraction form
    101,461.25/140,072.83 = 61,185.21/x
  3. Step 3: Cross multiply
    101,461.25x = 140,072.83 × 61,185.21
  4. Step 4: Simplify right side
    101,461.25x = 8,570,385,365.88
  5. Step 5: Solve for x
    x = 8,570,385,365.88/101,461.25
  6. Step 6: Final answer
    x = 84,469.55

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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.