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Finding the Fourth Proportional to 172,137.54, 258,206.31 and 52,194.26

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Solution

The fourth proportional to 172,137.54, 258,206.31 and 52,194.26 is: 78,291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,137.54 : 258,206.31 = 52,194.26 : x
  2. Step 2: Convert to fraction form
    172,137.54/258,206.31 = 52,194.26/x
  3. Step 3: Cross multiply
    172,137.54x = 258,206.31 × 52,194.26
  4. Step 4: Simplify right side
    172,137.54x = 13,476,885,986.75
  5. Step 5: Solve for x
    x = 13,476,885,986.75/172,137.54
  6. Step 6: Final answer
    x = 78,291.38

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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.