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Finding the Fourth Proportional to 101,461.41, 140,073.10 and 61,185.38

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Solution

The fourth proportional to 101,461.41, 140,073.10 and 61,185.38 is: 84,469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,461.41 : 140,073.10 = 61,185.38 : x
  2. Step 2: Convert to fraction form
    101,461.41/140,073.10 = 61,185.38/x
  3. Step 3: Cross multiply
    101,461.41x = 140,073.10 × 61,185.38
  4. Step 4: Simplify right side
    101,461.41x = 8,570,424,997.95
  5. Step 5: Solve for x
    x = 8,570,424,997.95/101,461.41
  6. Step 6: Final answer
    x = 84,469.80

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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.