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Finding the Fourth Proportional to 172,542.33, 258,854.96 and 54,213.58

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Solution

The fourth proportional to 172,542.33, 258,854.96 and 54,213.58 is: 81,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,542.33 : 258,854.96 = 54,213.58 : x
  2. Step 2: Convert to fraction form
    172,542.33/258,854.96 = 54,213.58/x
  3. Step 3: Cross multiply
    172,542.33x = 258,854.96 × 54,213.58
  4. Step 4: Simplify right side
    172,542.33x = 14,033,453,164.15
  5. Step 5: Solve for x
    x = 14,033,453,164.15/172,542.33
  6. Step 6: Final answer
    x = 81,333.39

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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.