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Finding the Fourth Proportional to 80,898.29, 121,358.36 and 75,977.54

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Solution

The fourth proportional to 80,898.29, 121,358.36 and 75,977.54 is: 113,976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,898.29 : 121,358.36 = 75,977.54 : x
  2. Step 2: Convert to fraction form
    80,898.29/121,358.36 = 75,977.54/x
  3. Step 3: Cross multiply
    80,898.29x = 121,358.36 × 75,977.54
  4. Step 4: Simplify right side
    80,898.29x = 9,220,508,664.55
  5. Step 5: Solve for x
    x = 9,220,508,664.55/80,898.29
  6. Step 6: Final answer
    x = 113,976.57

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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.