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Finding the Fourth Proportional to 80,641.88, 120,999.54 and 41,178.68

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Solution

The fourth proportional to 80,641.88, 120,999.54 and 41,178.68 is: 61,786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,641.88 : 120,999.54 = 41,178.68 : x
  2. Step 2: Convert to fraction form
    80,641.88/120,999.54 = 41,178.68/x
  3. Step 3: Cross multiply
    80,641.88x = 120,999.54 × 41,178.68
  4. Step 4: Simplify right side
    80,641.88x = 4,982,601,337.81
  5. Step 5: Solve for x
    x = 4,982,601,337.81/80,641.88
  6. Step 6: Final answer
    x = 61,786.77

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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.