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Finding the Fourth Proportional to 117,872.64, 162,722.52 and 80,343.72

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Solution

The fourth proportional to 117,872.64, 162,722.52 and 80,343.72 is: 110,914.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,872.64 : 162,722.52 = 80,343.72 : x
  2. Step 2: Convert to fraction form
    117,872.64/162,722.52 = 80,343.72/x
  3. Step 3: Cross multiply
    117,872.64x = 162,722.52 × 80,343.72
  4. Step 4: Simplify right side
    117,872.64x = 13,073,732,584.57
  5. Step 5: Solve for x
    x = 13,073,732,584.57/117,872.64
  6. Step 6: Final answer
    x = 110,914.06

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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.