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Finding the Fourth Proportional to 172,500, 258,750 and 47,841

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Solution

The fourth proportional to 172,500, 258,750 and 47,841 is: 71,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,500 : 258,750 = 47,841 : x
  2. Step 2: Convert to fraction form
    172,500/258,750 = 47,841/x
  3. Step 3: Cross multiply
    172,500x = 258,750 × 47,841
  4. Step 4: Simplify right side
    172,500x = 12,378,858,750
  5. Step 5: Solve for x
    x = 12,378,858,750/172,500
  6. Step 6: Final answer
    x = 71,761.50

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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.