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Finding the Fourth Proportional to 109,963.64, 164,832.78 and 43,376.80

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Solution

The fourth proportional to 109,963.64, 164,832.78 and 43,376.80 is: 65,020.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,963.64 : 164,832.78 = 43,376.80 : x
  2. Step 2: Convert to fraction form
    109,963.64/164,832.78 = 43,376.80/x
  3. Step 3: Cross multiply
    109,963.64x = 164,832.78 × 43,376.80
  4. Step 4: Simplify right side
    109,963.64x = 7,149,918,531.50
  5. Step 5: Solve for x
    x = 7,149,918,531.50/109,963.64
  6. Step 6: Final answer
    x = 65,020.75

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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.