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Finding the Fourth Proportional to 80,948.97, 111,709.94 and 45,138.87

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Solution

The fourth proportional to 80,948.97, 111,709.94 and 45,138.87 is: 62,291.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,948.97 : 111,709.94 = 45,138.87 : x
  2. Step 2: Convert to fraction form
    80,948.97/111,709.94 = 45,138.87/x
  3. Step 3: Cross multiply
    80,948.97x = 111,709.94 × 45,138.87
  4. Step 4: Simplify right side
    80,948.97x = 5,042,460,233.67
  5. Step 5: Solve for x
    x = 5,042,460,233.67/80,948.97
  6. Step 6: Final answer
    x = 62,291.84

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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.