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Finding the Fourth Proportional to 172,542.51, 258,839.88 and 54,202.71

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Solution

The fourth proportional to 172,542.51, 258,839.88 and 54,202.71 is: 81,312.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,542.51 : 258,839.88 = 54,202.71 : x
  2. Step 2: Convert to fraction form
    172,542.51/258,839.88 = 54,202.71/x
  3. Step 3: Cross multiply
    172,542.51x = 258,839.88 × 54,202.71
  4. Step 4: Simplify right side
    172,542.51x = 14,029,822,952.07
  5. Step 5: Solve for x
    x = 14,029,822,952.07/172,542.51
  6. Step 6: Final answer
    x = 81,312.27

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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.