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Finding the Fourth Proportional to 79,965.52, 110,819.21 and 78,838

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Solution

The fourth proportional to 79,965.52, 110,819.21 and 78,838 is: 109,256.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,965.52 : 110,819.21 = 78,838 : x
  2. Step 2: Convert to fraction form
    79,965.52/110,819.21 = 78,838/x
  3. Step 3: Cross multiply
    79,965.52x = 110,819.21 × 78,838
  4. Step 4: Simplify right side
    79,965.52x = 8,736,764,877.98
  5. Step 5: Solve for x
    x = 8,736,764,877.98/79,965.52
  6. Step 6: Final answer
    x = 109,256.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.