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Finding the Fourth Proportional to 61,178.86, 91,768.20 and 16,805.80

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Solution

The fourth proportional to 61,178.86, 91,768.20 and 16,805.80 is: 25,208.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,178.86 : 91,768.20 = 16,805.80 : x
  2. Step 2: Convert to fraction form
    61,178.86/91,768.20 = 16,805.80/x
  3. Step 3: Cross multiply
    61,178.86x = 91,768.20 × 16,805.80
  4. Step 4: Simplify right side
    61,178.86x = 1,542,238,015.56
  5. Step 5: Solve for x
    x = 1,542,238,015.56/61,178.86
  6. Step 6: Final answer
    x = 25,208.68

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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.