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Finding the Fourth Proportional to 172,474.26, 258,711.40 and 47,815.26

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Solution

The fourth proportional to 172,474.26, 258,711.40 and 47,815.26 is: 71,722.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,474.26 : 258,711.40 = 47,815.26 : x
  2. Step 2: Convert to fraction form
    172,474.26/258,711.40 = 47,815.26/x
  3. Step 3: Cross multiply
    172,474.26x = 258,711.40 × 47,815.26
  4. Step 4: Simplify right side
    172,474.26x = 12,370,352,855.96
  5. Step 5: Solve for x
    x = 12,370,352,855.96/172,474.26
  6. Step 6: Final answer
    x = 71,722.89

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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.