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Finding the Fourth Proportional to 172,570.74, 258,855.87 and 54,252.42

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Solution

The fourth proportional to 172,570.74, 258,855.87 and 54,252.42 is: 81,378.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,570.74 : 258,855.87 = 54,252.42 : x
  2. Step 2: Convert to fraction form
    172,570.74/258,855.87 = 54,252.42/x
  3. Step 3: Cross multiply
    172,570.74x = 258,855.87 × 54,252.42
  4. Step 4: Simplify right side
    172,570.74x = 14,043,557,378.71
  5. Step 5: Solve for x
    x = 14,043,557,378.71/172,570.74
  6. Step 6: Final answer
    x = 81,378.55

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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.