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Finding the Fourth Proportional to 84,217.92, 116,172 and 54,409.92

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Solution

The fourth proportional to 84,217.92, 116,172 and 54,409.92 is: 75,054.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,217.92 : 116,172 = 54,409.92 : x
  2. Step 2: Convert to fraction form
    84,217.92/116,172 = 54,409.92/x
  3. Step 3: Cross multiply
    84,217.92x = 116,172 × 54,409.92
  4. Step 4: Simplify right side
    84,217.92x = 6,320,909,226.24
  5. Step 5: Solve for x
    x = 6,320,909,226.24/84,217.92
  6. Step 6: Final answer
    x = 75,054.21

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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.