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Finding the Fourth Proportional to 172,568.16, 258,891.84 and 54,239.04

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Solution

The fourth proportional to 172,568.16, 258,891.84 and 54,239.04 is: 81,371.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,568.16 : 258,891.84 = 54,239.04 : x
  2. Step 2: Convert to fraction form
    172,568.16/258,891.84 = 54,239.04/x
  3. Step 3: Cross multiply
    172,568.16x = 258,891.84 × 54,239.04
  4. Step 4: Simplify right side
    172,568.16x = 14,042,044,865.43
  5. Step 5: Solve for x
    x = 14,042,044,865.43/172,568.16
  6. Step 6: Final answer
    x = 81,371.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.