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Finding the Fourth Proportional to 172,494.19, 258,751.67 and 54,165.54

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Solution

The fourth proportional to 172,494.19, 258,751.67 and 54,165.54 is: 81,251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,494.19 : 258,751.67 = 54,165.54 : x
  2. Step 2: Convert to fraction form
    172,494.19/258,751.67 = 54,165.54/x
  3. Step 3: Cross multiply
    172,494.19x = 258,751.67 × 54,165.54
  4. Step 4: Simplify right side
    172,494.19x = 14,015,424,630.94
  5. Step 5: Solve for x
    x = 14,015,424,630.94/172,494.19
  6. Step 6: Final answer
    x = 81,251.57

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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.