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Finding the Fourth Proportional to 172,408.74, 258,622.83 and 52,469.60

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Solution

The fourth proportional to 172,408.74, 258,622.83 and 52,469.60 is: 78,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,408.74 : 258,622.83 = 52,469.60 : x
  2. Step 2: Convert to fraction form
    172,408.74/258,622.83 = 52,469.60/x
  3. Step 3: Cross multiply
    172,408.74x = 258,622.83 × 52,469.60
  4. Step 4: Simplify right side
    172,408.74x = 13,569,835,147.85
  5. Step 5: Solve for x
    x = 13,569,835,147.85/172,408.74
  6. Step 6: Final answer
    x = 78,707.35

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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.