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Finding the Fourth Proportional to 179,503.66, 269,305.38 and 78,310.56

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Solution

The fourth proportional to 179,503.66, 269,305.38 and 78,310.56 is: 117,487.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,503.66 : 269,305.38 = 78,310.56 : x
  2. Step 2: Convert to fraction form
    179,503.66/269,305.38 = 78,310.56/x
  3. Step 3: Cross multiply
    179,503.66x = 269,305.38 × 78,310.56
  4. Step 4: Simplify right side
    179,503.66x = 21,089,455,118.81
  5. Step 5: Solve for x
    x = 21,089,455,118.81/179,503.66
  6. Step 6: Final answer
    x = 117,487.61

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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.