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Finding the Fourth Proportional to 110,728.94, 165,843.68 and 51,439.86

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Solution

The fourth proportional to 110,728.94, 165,843.68 and 51,439.86 is: 77,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,728.94 : 165,843.68 = 51,439.86 : x
  2. Step 2: Convert to fraction form
    110,728.94/165,843.68 = 51,439.86/x
  3. Step 3: Cross multiply
    110,728.94x = 165,843.68 × 51,439.86
  4. Step 4: Simplify right side
    110,728.94x = 8,530,975,681.08
  5. Step 5: Solve for x
    x = 8,530,975,681.08/110,728.94
  6. Step 6: Final answer
    x = 77,043.78

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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.