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Finding the Fourth Proportional to 172,408.62, 258,617.25 and 47,750.70

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Solution

The fourth proportional to 172,408.62, 258,617.25 and 47,750.70 is: 71,627.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,408.62 : 258,617.25 = 47,750.70 : x
  2. Step 2: Convert to fraction form
    172,408.62/258,617.25 = 47,750.70/x
  3. Step 3: Cross multiply
    172,408.62x = 258,617.25 × 47,750.70
  4. Step 4: Simplify right side
    172,408.62x = 12,349,154,719.58
  5. Step 5: Solve for x
    x = 12,349,154,719.58/172,408.62
  6. Step 6: Final answer
    x = 71,627.25

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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.