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Finding the Fourth Proportional to 84,578.77, 116,452.41 and 71,806.69

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Solution

The fourth proportional to 84,578.77, 116,452.41 and 71,806.69 is: 98,867.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,578.77 : 116,452.41 = 71,806.69 : x
  2. Step 2: Convert to fraction form
    84,578.77/116,452.41 = 71,806.69/x
  3. Step 3: Cross multiply
    84,578.77x = 116,452.41 × 71,806.69
  4. Step 4: Simplify right side
    84,578.77x = 8,362,062,104.62
  5. Step 5: Solve for x
    x = 8,362,062,104.62/84,578.77
  6. Step 6: Final answer
    x = 98,867.15

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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.