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Finding the Fourth Proportional to 172,408.24, 258,622.08 and 52,469.09

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Solution

The fourth proportional to 172,408.24, 258,622.08 and 52,469.09 is: 78,706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,408.24 : 258,622.08 = 52,469.09 : x
  2. Step 2: Convert to fraction form
    172,408.24/258,622.08 = 52,469.09/x
  3. Step 3: Cross multiply
    172,408.24x = 258,622.08 × 52,469.09
  4. Step 4: Simplify right side
    172,408.24x = 13,569,665,838.06
  5. Step 5: Solve for x
    x = 13,569,665,838.06/172,408.24
  6. Step 6: Final answer
    x = 78,706.60

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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.