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Finding the Fourth Proportional to 172,297.36, 258,450.90 and 47,638.36

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Solution

The fourth proportional to 172,297.36, 258,450.90 and 47,638.36 is: 71,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,297.36 : 258,450.90 = 47,638.36 : x
  2. Step 2: Convert to fraction form
    172,297.36/258,450.90 = 47,638.36/x
  3. Step 3: Cross multiply
    172,297.36x = 258,450.90 × 47,638.36
  4. Step 4: Simplify right side
    172,297.36x = 12,312,177,016.52
  5. Step 5: Solve for x
    x = 12,312,177,016.52/172,297.36
  6. Step 6: Final answer
    x = 71,458.88

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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.