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Finding the Fourth Proportional to 71,568.64, 98,857.68 and 54,469

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Solution

The fourth proportional to 71,568.64, 98,857.68 and 54,469 is: 75,237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,568.64 : 98,857.68 = 54,469 : x
  2. Step 2: Convert to fraction form
    71,568.64/98,857.68 = 54,469/x
  3. Step 3: Cross multiply
    71,568.64x = 98,857.68 × 54,469
  4. Step 4: Simplify right side
    71,568.64x = 5,384,678,971.92
  5. Step 5: Solve for x
    x = 5,384,678,971.92/71,568.64
  6. Step 6: Final answer
    x = 75,237.97

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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.