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Finding the Fourth Proportional to 80,948.94, 111,712.98 and 45,138.96

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Solution

The fourth proportional to 80,948.94, 111,712.98 and 45,138.96 is: 62,293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,948.94 : 111,712.98 = 45,138.96 : x
  2. Step 2: Convert to fraction form
    80,948.94/111,712.98 = 45,138.96/x
  3. Step 3: Cross multiply
    80,948.94x = 111,712.98 × 45,138.96
  4. Step 4: Simplify right side
    80,948.94x = 5,042,607,735.70
  5. Step 5: Solve for x
    x = 5,042,607,735.70/80,948.94
  6. Step 6: Final answer
    x = 62,293.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.