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Finding the Fourth Proportional to 80,122.69, 111,074.97 and 75,856.63

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Solution

The fourth proportional to 80,122.69, 111,074.97 and 75,856.63 is: 105,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,122.69 : 111,074.97 = 75,856.63 : x
  2. Step 2: Convert to fraction form
    80,122.69/111,074.97 = 75,856.63/x
  3. Step 3: Cross multiply
    80,122.69x = 111,074.97 × 75,856.63
  4. Step 4: Simplify right side
    80,122.69x = 8,425,773,154.45
  5. Step 5: Solve for x
    x = 8,425,773,154.45/80,122.69
  6. Step 6: Final answer
    x = 105,160.89

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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.